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106119480 = 23354121569
BaseRepresentation
bin1100101001101…
…00000100111000
321101200102120010
412110310010320
5204131310410
614310301520
72426000145
oct624640470
9241612503
10106119480
11549a1155
122b6578a0
1318ca6cbc
14101453cc
1594b2c20
hex6534138

106119480 has 64 divisors (see below), whose sum is σ = 326138400. Its totient is φ = 27607040.

The previous prime is 106119469. The next prime is 106119487. The reversal of 106119480 is 84911601.

It is a super-2 number, since 2×1061194802 = 22522688070940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106119487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5865 + ... + 15704.

Almost surely, 2106119480 is an apocalyptic number.

106119480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106119480 is an abundant number, since it is smaller than the sum of its proper divisors (220018920).

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

106119480 is a wasteful number, since it uses less digits than its factorization.

106119480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21624 (or 21620 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 106119480 is about 10301.4309685597. The cubic root of 106119480 is about 473.4400980262.

The spelling of 106119480 in words is "one hundred six million, one hundred nineteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 21569 43138 64707 86276 107845 129414 172552 215690 258828 323535 431380 517656 647070 862760 884329 1294140 1768658 2588280 2652987 3537316 4421645 5305974 7074632 8843290 10611948 13264935 17686580 21223896 26529870 35373160 53059740 106119480