10106672640 has 160 divisors (see below), whose sum is σ = 32375936736. Its totient is φ = 2689597440.

The previous prime is 10106672617. The next prime is 10106672659. The reversal of 10106672640 is 4627660101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4921854 + ... + 4923906.

Almost surely, 2^10106672640 is an apocalyptic number.

10106672640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187968368).

10106672640 is an abundant number, since it is smaller than the sum of its proper divisors (22269264096).

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

10106672640 is an equidigital number, since it uses as much as digits as its factorization.

10106672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10106672640 in words is "ten billion, one hundred six million, six hundred seventy-two thousand, six hundred forty".