10107226320 has 160 divisors (see below), whose sum is σ = 33092167680. Its totient is φ = 2544837120.

The previous prime is 10107226307. The next prime is 10107226357. The reversal of 10107226320 is 2362270101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1414597 + ... + 1421723.

It is an arithmetic number, because the mean of its divisors is an integer number (206826048).

Almost surely, 2^10107226320 is an apocalyptic number.

10107226320 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 10107226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

10107226320 is an abundant number, since it is smaller than the sum of its proper divisors (22984941360).

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

10107226320 is a wasteful number, since it uses less digits than its factorization.

10107226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 10107226320 its reverse (2362270101), we get a palindrome (12469496421).

The spelling of 10107226320 in words is "ten billion, one hundred seven million, two hundred twenty-six thousand, three hundred twenty".