10507536 has 80 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 3231360.

The previous prime is 10507529. The next prime is 10507559. The reversal of 10507536 is 63570501.

It is a super-2 number, since 2×10507536² = 220816625582592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4681 + ... + 6551.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^10507536 is an apocalyptic number.

10507536 is a gapful number since it is divisible by the number (16) 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 10507536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10507536 is an abundant number, since it is smaller than the sum of its proper divisors (21990384).

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

10507536 is a wasteful number, since it uses less digits than its factorization.

10507536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10507536 is about 3241.5329706792. The cubic root of 10507536 is about 219.0283318572.

It can be divided in two parts, 105075 and 36, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 10507536 in words is "ten million, five hundred seven thousand, five hundred thirty-six".