10556106000090 has 128 divisors (see below), whose sum is σ = 31645998563328. Its totient is φ = 2197638743040.

The previous prime is 10556106000049. The next prime is 10556106000103. The reversal of 10556106000090 is 9000060165501.

It is a super-2 number, since 2×10556106000090² (a number of 27 digits) contains 22 as substring.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 47581144 + ... + 47802483.

It is an arithmetic number, because the mean of its divisors is an integer number (247234363776).

Almost surely, 2^{10556106000090} is an apocalyptic number.

10556106000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10556106000090 is an abundant number, since it is smaller than the sum of its proper divisors (21089892563238).

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

10556106000090 is a wasteful number, since it uses less digits than its factorization.

10556106000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95383692.

The product of its (nonzero) digits is 8100, while the sum is 33.

Adding to 10556106000090 its reverse (9000060165501), we get a palindrome (19556166165591).

The spelling of 10556106000090 in words is "ten trillion, five hundred fifty-six billion, one hundred six million, ninety", and thus it is an aban number.