107464960 has 72 divisors (see below), whose sum is σ = 261959040. Its totient is φ = 42227712.

The previous prime is 107464957. The next prime is 107464963. The reversal of 107464960 is 69464701.

It is an interprime number because it is at equal distance from previous prime (107464957) and next prime (107464963).

It is not an unprimeable number, because it can be changed into a prime (107464963) 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, 74809 + ... + 76231.

It is an arithmetic number, because the mean of its divisors is an integer number (3638320).

Almost surely, 2^107464960 is an apocalyptic number.

107464960 is a gapful number since it is divisible by the number (10) 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 107464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130979520).

107464960 is an abundant number, since it is smaller than the sum of its proper divisors (154494080).

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

107464960 is an equidigital number, since it uses as much as digits as its factorization.

107464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 107464960 is about 10366.5307600952. The cubic root of 107464960 is about 475.4326031199.

It can be divided in two parts, 10 and 7464960, that multiplied together give a square (74649600 = 8640²).

The spelling of 107464960 in words is "one hundred seven million, four hundred sixty-four thousand, nine hundred sixty".