107179380 has 432 divisors, whose sum is σ = 441517440. Its totient is φ = 20528640.

The previous prime is 107179367. The next prime is 107179381. The reversal of 107179380 is 83971701.

107179380 is a `hidden beast` number, since 107 + 179 + 380 = 666.

It is a super-2 number, since 2×107179380² = 22974838994368800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107179381) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2896722 + ... + 2896758.

Almost surely, 2^107179380 is an apocalyptic number.

107179380 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 107179380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220758720).

107179380 is an abundant number, since it is smaller than the sum of its proper divisors (334338060).

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

107179380 is a wasteful number, since it uses less digits than its factorization.

107179380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 107179380 is about 10352.7474614230. The cubic root of 107179380 is about 475.0110874605.

The spelling of 107179380 in words is "one hundred seven million, one hundred seventy-nine thousand, three hundred eighty".