107412480 has 440 divisors, whose sum is σ = 451781088. Its totient is φ = 23887872.

The previous prime is 107412469. The next prime is 107412493. The reversal of 107412480 is 84214701.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2903022 + ... + 2903058.

Almost surely, 2^107412480 is an apocalyptic number.

107412480 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 107412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225890544).

107412480 is an abundant number, since it is smaller than the sum of its proper divisors (344368608).

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

107412480 is an equidigital number, since it uses as much as digits as its factorization.

107412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107412480 is about 10363.9992280972. Note that the first 3 decimals coincide. The cubic root of 107412480 is about 475.3551987714.

The spelling of 107412480 in words is "one hundred seven million, four hundred twelve thousand, four hundred eighty".