75108964 has 36 divisors (see below), whose sum is σ = 157047996. Its totient is φ = 31316544.

The previous prime is 75108959. The next prime is 75108973. The reversal of 75108964 is 46980157.

It can be written as a sum of positive squares in 2 ways, for example, as 54022500 + 21086464 = 7350^2 + 4592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074 + ... + 12430.

Almost surely, 2^75108964 is an apocalyptic number.

75108964 is a gapful number since it is divisible by the number (74) 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 75108964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78523998).

75108964 is an abundant number, since it is smaller than the sum of its proper divisors (81939032).

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

75108964 is a wasteful number, since it uses less digits than its factorization.

75108964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 75108964 is about 8666.5427939865. The cubic root of 75108964 is about 421.9204644848.

The spelling of 75108964 in words is "seventy-five million, one hundred eight thousand, nine hundred sixty-four".