10507032 has 24 divisors (see below), whose sum is σ = 28456740. Its totient is φ = 3502320.

The previous prime is 10507031. The next prime is 10507039. The reversal of 10507032 is 23070501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10507032² = 220795442898048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 10506996 and 10507014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72894 + ... + 73037.

Almost surely, 2^10507032 is an apocalyptic number.

10507032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10507032 is an abundant number, since it is smaller than the sum of its proper divisors (17949708).

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

10507032 is a wasteful number, since it uses less digits than its factorization.

10507032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145943 (or 145936 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10507032 is about 3241.4552287514. The cubic root of 10507032 is about 219.0248298613.

Adding to 10507032 its reverse (23070501), we get a palindrome (33577533).

The spelling of 10507032 in words is "ten million, five hundred seven thousand, thirty-two".