107950080 has 208 divisors, whose sum is σ = 396313344. Its totient is φ = 24576000.

The previous prime is 107950069. The next prime is 107950099. The reversal of 107950080 is 80059701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429955 + ... + 430205.

Almost surely, 2^107950080 is an apocalyptic number.

107950080 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 107950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198156672).

107950080 is an abundant number, since it is smaller than the sum of its proper divisors (288363264).

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

107950080 is an equidigital number, since it uses as much as digits as its factorization.

107950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 107950080 is about 10389.9027906906. The cubic root of 107950080 is about 476.1469310785.

The spelling of 107950080 in words is "one hundred seven million, nine hundred fifty thousand, eighty".