10309152 has 144 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 2720256.

The previous prime is 10309151. The next prime is 10309177. The reversal of 10309152 is 25190301.

It is a super-2 number, since 2×10309152² = 212557229918208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10309151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355474 + ... + 355502.

It is an arithmetic number, because the mean of its divisors is an integer number (232260).

Almost surely, 2^10309152 is an apocalyptic number.

10309152 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 10309152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722720).

10309152 is an abundant number, since it is smaller than the sum of its proper divisors (23136288).

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

10309152 is a wasteful number, since it uses less digits than its factorization.

10309152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10309152 is about 3210.7868194572. The cubic root of 10309152 is about 217.6411344525.

Adding to 10309152 its reverse (25190301), we get a palindrome (35499453).

The spelling of 10309152 in words is "ten million, three hundred nine thousand, one hundred fifty-two".