100105710580 has 12 divisors (see below), whose sum is σ = 210221992260. Its totient is φ = 40042284224.

The previous prime is 100105710527. The next prime is 100105710599. The reversal of 100105710580 is 85017501001.

It can be written as a sum of positive squares in 2 ways, for example, as 58511739664 + 41593970916 = 241892^2 + 203946^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2502642745 + ... + 2502642784.

It is an arithmetic number, because the mean of its divisors is an integer number (17518499355).

Almost surely, 2^100105710580 is an apocalyptic number.

100105710580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105710580 is an abundant number, since it is smaller than the sum of its proper divisors (110116281680).

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

100105710580 is a wasteful number, since it uses less digits than its factorization.

100105710580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005285538 (or 5005285536 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 28.

The spelling of 100105710580 in words is "one hundred billion, one hundred five million, seven hundred ten thousand, five hundred eighty".