10106261312 has 28 divisors (see below), whose sum is σ = 22919557920. Its totient is φ = 4331254656.

The previous prime is 10106261311. The next prime is 10106261351. The reversal of 10106261312 is 21316260101.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×10106261312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106261311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11278862 + ... + 11279757.

It is an arithmetic number, because the mean of its divisors is an integer number (818555640).

Almost surely, 2^10106261312 is an apocalyptic number.

It is an amenable number.

10106261312 is an abundant number, since it is smaller than the sum of its proper divisors (12813296608).

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

10106261312 is an equidigital number, since it uses as much as digits as its factorization.

10106261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22558638 (or 22558628 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10106261312 in words is "ten billion, one hundred six million, two hundred sixty-one thousand, three hundred twelve".