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106010560600 = 2352775721829
BaseRepresentation
bin110001010111010111…
…0001100100001011000
3101010122001120110100021
41202232232030201120
53214102200414400
6120411154120224
710442016616540
oct1425656144130
9333561513307
10106010560600
1140a6021a25a
1218666880074
139cc5b35289
1451b941c320
152b56c5b71a
hex18aeb8c858

106010560600 has 48 divisors (see below), whose sum is σ = 281685207600. Its totient is φ = 36346477440.

The previous prime is 106010560571. The next prime is 106010560633. The reversal of 106010560600 is 6065010601.

It is a super-2 number, since 2×1060105606002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37859515 + ... + 37862314.

It is an arithmetic number, because the mean of its divisors is an integer number (5868441825).

Almost surely, 2106010560600 is an apocalyptic number.

106010560600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010560600 is an abundant number, since it is smaller than the sum of its proper divisors (175674647000).

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

106010560600 is a wasteful number, since it uses less digits than its factorization.

106010560600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75721852 (or 75721843 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 106010560600 in words is "one hundred six billion, ten million, five hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 75721829 151443658 302887316 378609145 530052803 605774632 757218290 1060105606 1514436580 1893045725 2120211212 2650264015 3028873160 3786091450 4240422424 5300528030 7572182900 10601056060 13251320075 15144365800 21202112120 26502640150 53005280300 106010560600