107506464 has 48 divisors (see below), whose sum is σ = 303916032. Its totient is φ = 33078528.

The previous prime is 107506463. The next prime is 107506489. The reversal of 107506464 is 464605701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107506463) by changing a digit.

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, 41824 + ... + 44319.

It is an arithmetic number, because the mean of its divisors is an integer number (6331584).

Almost surely, 2^107506464 is an apocalyptic number.

It is an amenable number.

107506464 is an abundant number, since it is smaller than the sum of its proper divisors (196409568).

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

107506464 is a wasteful number, since it uses less digits than its factorization.

107506464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86169 (or 86161 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 107506464 is about 10368.5323937383. The cubic root of 107506464 is about 475.4938007885.

The spelling of 107506464 in words is "one hundred seven million, five hundred six thousand, four hundred sixty-four".