100105061135080 has 64 divisors (see below), whose sum is σ = 236703482231040. Its totient is φ = 38053765516032.

The previous prime is 100105061135047. The next prime is 100105061135083. The reversal of 100105061135080 is 80531160501001.

It is not an unprimeable number, because it can be changed into a prime (100105061135083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786431184 + ... + 786558463.

It is an arithmetic number, because the mean of its divisors is an integer number (3698491909860).

Almost surely, 2^{100105061135080} is an apocalyptic number.

100105061135080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105061135080 is an abundant number, since it is smaller than the sum of its proper divisors (136598421095960).

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

100105061135080 is a wasteful number, since it uses less digits than its factorization.

100105061135080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572989738 (or 1572989734 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 100105061135080 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred thirty-five thousand, eighty".