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106403010420 = 22357413361297
BaseRepresentation
bin110001100011000011…
…1010001011101110100
3101011122102000222021210
41203012013101131310
53220403132313140
6120514133441420
710454523444240
oct1430607213564
9334572028253
10106403010420
11411417a8653
12187561a0270
13a0592320c5
1452155b9420
152b7b42cd80
hex18c61d1774

106403010420 has 96 divisors (see below), whose sum is σ = 340577572608. Its totient is φ = 24314406912.

The previous prime is 106403010409. The next prime is 106403010431. The reversal of 106403010420 is 24010304601.

106403010420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106403010409) and next prime (106403010431).

It is a super-2 number, since 2×1064030104202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705212 + ... + 1766508.

It is an arithmetic number, because the mean of its divisors is an integer number (3547683048).

Almost surely, 2106403010420 is an apocalyptic number.

106403010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106403010420 is an abundant number, since it is smaller than the sum of its proper divisors (234174562188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106403010420 is a wasteful number, since it uses less digits than its factorization.

106403010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65449 (or 65447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 106403010420 in words is "one hundred six billion, four hundred three million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 4133 8266 12399 16532 20665 24798 28931 41330 49596 57862 61297 61995 82660 86793 115724 122594 123990 144655 173586 183891 245188 247980 289310 306485 347172 367782 429079 433965 578620 612970 735564 858158 867930 919455 1225940 1287237 1716316 1735860 1838910 2145395 2574474 3677820 4290790 5148948 6436185 8581580 12872370 25744740 253340501 506681002 760021503 1013362004 1266702505 1520043006 1773383507 2533405010 3040086012 3546767014 3800107515 5066810020 5320150521 7093534028 7600215030 8866917535 10640301042 15200430060 17733835070 21280602084 26600752605 35467670140 53201505210 106403010420