10556105970 has 64 divisors (see below), whose sum is σ = 26912704896. Its totient is φ = 2640706560.

The previous prime is 10556105951. The next prime is 10556106049. The reversal of 10556105970 is 7950165501.

10556105970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556105970² (a number of 21 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122860 + ... + 190280.

It is an arithmetic number, because the mean of its divisors is an integer number (420511014).

Almost surely, 2^10556105970 is an apocalyptic number.

10556105970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10556105970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456352448).

10556105970 is an abundant number, since it is smaller than the sum of its proper divisors (16356598926).

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

10556105970 is a wasteful number, since it uses less digits than its factorization.

10556105970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67755.

The product of its (nonzero) digits is 47250, while the sum is 39.

The spelling of 10556105970 in words is "ten billion, five hundred fifty-six million, one hundred five thousand, nine hundred seventy".