107910480 has 160 divisors (see below), whose sum is σ = 354191616. Its totient is φ = 27123712.

The previous prime is 107910461. The next prime is 107910487. The reversal of 107910480 is 84019701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107910487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623674 + ... + 623846.

Almost surely, 2^107910480 is an apocalyptic number.

107910480 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 107910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177095808).

107910480 is an abundant number, since it is smaller than the sum of its proper divisors (246281136).

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

107910480 is a wasteful number, since it uses less digits than its factorization.

107910480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 107910480 is about 10387.9969195221. The cubic root of 107910480 is about 476.0887013098.

The spelling of 107910480 in words is "one hundred seven million, nine hundred ten thousand, four hundred eighty".