10107552 has 144 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 2635776.

The previous prime is 10107523. The next prime is 10107589. The reversal of 10107552 is 25570101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113524 + ... + 113612.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 2^10107552 is an apocalyptic number.

10107552 is a gapful number since it is divisible by the number (12) 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 10107552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

10107552 is an abundant number, since it is smaller than the sum of its proper divisors (23095968).

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

10107552 is a wasteful number, since it uses less digits than its factorization.

10107552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 10107552 is about 3179.2376444676. The cubic root of 10107552 is about 216.2130955991.

Adding to 10107552 its reverse (25570101), we get a palindrome (35677653).

The spelling of 10107552 in words is "ten million, one hundred seven thousand, five hundred fifty-two".