100605061100010 has 128 divisors (see below), whose sum is σ = 254347334841600. Its totient is φ = 25397303500800.

The previous prime is 100605061099943. The next prime is 100605061100017. The reversal of 100605061100010 is 10001160506001.

It is a super-2 number, since 2×100605061100010² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100605061100010.

It is not an unprimeable number, because it can be changed into a prime (100605061100017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10161096060 + ... + 10161105960.

It is an arithmetic number, because the mean of its divisors is an integer number (1987088553450).

Almost surely, 2^{100605061100010} is an apocalyptic number.

100605061100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100605061100010 is an abundant number, since it is smaller than the sum of its proper divisors (153742273741590).

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

100605061100010 is a wasteful number, since it uses less digits than its factorization.

100605061100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21256.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 100605061100010 in words is "one hundred trillion, six hundred five billion, sixty-one million, one hundred thousand, ten".