100105500510560 has 48 divisors (see below), whose sum is σ = 236544406234416. Its totient is φ = 40034553850368.

The previous prime is 100105500510517. The next prime is 100105500510593. The reversal of 100105500510560 is 65015005501001.

It is a happy number.

It is a super-2 number, since 2×100105500510560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58896602 + ... + 60572441.

It is an arithmetic number, because the mean of its divisors is an integer number (4928008463217).

Almost surely, 2^{100105500510560} is an apocalyptic number.

100105500510560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105500510560 is an abundant number, since it is smaller than the sum of its proper divisors (136438905723856).

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

100105500510560 is a wasteful number, since it uses less digits than its factorization.

100105500510560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119474295 (or 119474287 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100105500510560 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred ten thousand, five hundred sixty".