100105550010 has 48 divisors (see below), whose sum is σ = 260297253216. Its totient is φ = 26692472544.

The previous prime is 100105549987. The next prime is 100105550033. The reversal of 100105550010 is 10055501001.

100105550010 is a `hidden beast` number, since 1 + 0 + 0 + 105 + 550 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (100105549987) and next prime (100105550033).

It is a super-2 number, since 2×100105550010² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

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, 1144657 + ... + 1229003.

It is an arithmetic number, because the mean of its divisors is an integer number (5422859442).

Almost surely, 2^100105550010 is an apocalyptic number.

100105550010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105550010 is an abundant number, since it is smaller than the sum of its proper divisors (160191703206).

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

100105550010 is a wasteful number, since it uses less digits than its factorization.

100105550010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97547 (or 97544 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 100105550010 in words is "one hundred billion, one hundred five million, five hundred fifty thousand, ten".