10056106005510 has 64 divisors (see below), whose sum is σ = 24198042435840. Its totient is φ = 2674593248640.

The previous prime is 10056106005499. The next prime is 10056106005587. The reversal of 10056106005510 is 1550060165001.

It is a super-2 number, since 2×10056106005510² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 in 31 ways as a sum of consecutive naturals, for example, 19695021 + ... + 20199159.

It is an arithmetic number, because the mean of its divisors is an integer number (378094413060).

Almost surely, 2^{10056106005510} is an apocalyptic number.

10056106005510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10056106005510 is an abundant number, since it is smaller than the sum of its proper divisors (14141936430330).

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

10056106005510 is a wasteful number, since it uses less digits than its factorization.

10056106005510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505893.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10056106005510 in words is "ten trillion, fifty-six billion, one hundred six million, five thousand, five hundred ten".