100605060 has 72 divisors (see below), whose sum is σ = 315708120. Its totient is φ = 25901568.

The previous prime is 100605053. The next prime is 100605073. The reversal of 100605060 is 60506001.

100605060 is a `hidden beast` number, since 1 + 0 + 0 + 605 + 0 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16112196 + 84492864 = 4014^2 + 9192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4417 + ... + 14856.

It is an arithmetic number, because the mean of its divisors is an integer number (4384835).

Almost surely, 2^100605060 is an apocalyptic number.

100605060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100605060 is an abundant number, since it is smaller than the sum of its proper divisors (215103060).

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

100605060 is a wasteful number, since it uses less digits than its factorization.

100605060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19317 (or 19312 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100605060 is about 10030.2073757226. The cubic root of 100605060 is about 465.0931481795.

The spelling of 100605060 in words is "one hundred million, six hundred five thousand, sixty".