10106631051 has 16 divisors (see below), whose sum is σ = 15207471360. Its totient is φ = 5914015520.

The previous prime is 10106631023. The next prime is 10106631061. The reversal of 10106631051 is 15013660101.

It is a cyclic number.

It is not a de Polignac number, because 10106631051 - 2⁶ = 10106630987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10106631061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5279415 + ... + 5281328.

It is an arithmetic number, because the mean of its divisors is an integer number (950466960).

Almost surely, 2^10106631051 is an apocalyptic number.

10106631051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10106631051 is a deficient number, since it is larger than the sum of its proper divisors (5100840309).

10106631051 is a wasteful number, since it uses less digits than its factorization.

10106631051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560786.

The product of its (nonzero) digits is 540, while the sum is 24.

The spelling of 10106631051 in words is "ten billion, one hundred six million, six hundred thirty-one thousand, fifty-one".