65107152 has 100 divisors (see below), whose sum is σ = 205614816. Its totient is φ = 19725120.

The previous prime is 65107111. The next prime is 65107157. The reversal of 65107152 is 25170156.

65107152 is a `hidden beast` number, since 651 + 0 + 7 + 1 + 5 + 2 = 666.

65107152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65107152² = 8477882483102208, 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 not an unprimeable number, because it can be changed into a prime (65107157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11973 + ... + 16539.

Almost surely, 2^65107152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65107152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102807408).

65107152 is an abundant number, since it is smaller than the sum of its proper divisors (140507664).

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

65107152 is a wasteful number, since it uses less digits than its factorization.

65107152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 65107152 is about 8068.9002968186. The cubic root of 65107152 is about 402.2933924147.

The spelling of 65107152 in words is "sixty-five million, one hundred seven thousand, one hundred fifty-two".