100105500510010 has 64 divisors (see below), whose sum is σ = 198625372607520. Its totient is φ = 36155466547200.

The previous prime is 100105500510007. The next prime is 100105500510011. The reversal of 100105500510010 is 10015005501001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 22125668586849 + 77979831923161 = 4703793^2 + 8830619^2 .

It is a super-2 number, since 2×100105500510010² (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 100105500510010.

It is not an unprimeable number, because it can be changed into a prime (100105500510011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63892791 + ... + 65440810.

Almost surely, 2^{100105500510010} is an apocalyptic number.

100105500510010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105500510010 is a deficient number, since it is larger than the sum of its proper divisors (98519872097510).

100105500510010 is a wasteful number, since it uses less digits than its factorization.

100105500510010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129333811.

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 100105500510010 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred ten thousand, ten".