107134464 has 80 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 33822720.

The previous prime is 107134453. The next prime is 107134471. The reversal of 107134464 is 464431701.

It is a super-2 number, since 2×107134464² = 22955586753134592, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27349 + ... + 31019.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2^107134464 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 107134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

107134464 is an abundant number, since it is smaller than the sum of its proper divisors (193382016).

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

107134464 is an equidigital number, since it uses as much as digits as its factorization.

107134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 107134464 is about 10350.5779548777. The cubic root of 107134464 is about 474.9447233922.

The spelling of 107134464 in words is "one hundred seven million, one hundred thirty-four thousand, four hundred sixty-four".