107152 has 20 divisors (see below), whose sum is σ = 214396. Its totient is φ = 51840.

The previous prime is 107137. The next prime is 107171. The reversal of 107152 is 251701.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 65536 = 204^2 + 256^2 .

It is a super-2 number, since 2×107152² = 22963102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 502 + ... + 682.

2¹⁰⁷¹⁵² is an apocalyptic number.

It is an amenable number.

107152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

107152 is a wasteful number, since it uses less digits than its factorization.

107152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 107152 is about 327.3408010010. The cubic root of 107152 is about 47.4970635304.

Adding to 107152 its reverse (251701), we get a palindrome (358853).

The spelling of 107152 in words is "one hundred seven thousand, one hundred fifty-two".