107413680 has 320 divisors, whose sum is σ = 398545920. Its totient is φ = 23654400.

The previous prime is 107413673. The next prime is 107413681. The reversal of 107413680 is 86314701.

It is a happy number.

It is a super-2 number, since 2×107413680² = 23075397302284800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107413681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1760850 + ... + 1760910.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^107413680 is an apocalyptic number.

107413680 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 107413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

107413680 is an abundant number, since it is smaller than the sum of its proper divisors (291132240).

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

107413680 is a wasteful number, since it uses less digits than its factorization.

107413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 107413680 is about 10364.0571206454. The cubic root of 107413680 is about 475.3569689695.

The spelling of 107413680 in words is "one hundred seven million, four hundred thirteen thousand, six hundred eighty".