10107362640 has 160 divisors (see below), whose sum is σ = 32346179712. Its totient is φ = 2609152000.

The previous prime is 10107362591. The next prime is 10107362641. The reversal of 10107362640 is 4626370101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10107362598 and 10107362607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107362641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285120 + ... + 1292960.

Almost surely, 2^10107362640 is an apocalyptic number.

10107362640 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 10107362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173089856).

10107362640 is an abundant number, since it is smaller than the sum of its proper divisors (22238817072).

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

10107362640 is a wasteful number, since it uses less digits than its factorization.

10107362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 10107362640 in words is "ten billion, one hundred seven million, three hundred sixty-two thousand, six hundred forty".