107202480 has 160 divisors (see below), whose sum is σ = 414402048. Its totient is φ = 22272000.

The previous prime is 107202463. The next prime is 107202521. The reversal of 107202480 is 84202701.

It is a super-2 number, since 2×107202480² = 22984743436300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 107202480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15580 + ... + 21380.

Almost surely, 2^107202480 is an apocalyptic number.

107202480 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 107202480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207201024).

107202480 is an abundant number, since it is smaller than the sum of its proper divisors (307199568).

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

107202480 is a wasteful number, since it uses less digits than its factorization.

107202480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 107202480 is about 10353.8630471916. The cubic root of 107202480 is about 475.0452108398.

The spelling of 107202480 in words is "one hundred seven million, two hundred two thousand, four hundred eighty".