100105500501056 has 14 divisors (see below), whose sum is σ = 198646852556910. Its totient is φ = 50052750250496.

The previous prime is 100105500500989. The next prime is 100105500501151. The reversal of 100105500501056 is 650105005501001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100088339501056 + 17161000000 = 10004416^2 + 131000^2 .

It is a super-2 number, since 2×100105500501056² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 782074222601 + ... + 782074222728.

Almost surely, 2^{100105500501056} is an apocalyptic number.

100105500501056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100105500501056 is a deficient number, since it is larger than the sum of its proper divisors (98541352055854).

100105500501056 is an equidigital number, since it uses as much as digits as its factorization.

100105500501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564148445341 (or 1564148445331 counting only the distinct ones).

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

The spelling of 100105500501056 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred one thousand, fifty-six".