105100605501000 has 128 divisors (see below), whose sum is σ = 327931052342400. Its totient is φ = 28025361196800.

The previous prime is 105100605500999. The next prime is 105100605501037. The reversal of 105100605501000 is 105506001501.

It is a super-2 number, since 2×105100605501000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57019819 + ... + 58834181.

It is an arithmetic number, because the mean of its divisors is an integer number (2561961346425).

Almost surely, 2^{105100605501000} is an apocalyptic number.

105100605501000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105100605501000 is an abundant number, since it is smaller than the sum of its proper divisors (222830446841400).

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

105100605501000 is a wasteful number, since it uses less digits than its factorization.

105100605501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833696 (or 1833682 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105100605501000 in words is "one hundred five trillion, one hundred billion, six hundred five million, five hundred one thousand".