107364180 has 192 divisors, whose sum is σ = 397135872. Its totient is φ = 20981760.

The previous prime is 107364157. The next prime is 107364221. The reversal of 107364180 is 81463701.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77857 + ... + 79223.

It is an arithmetic number, because the mean of its divisors is an integer number (2068416).

Almost surely, 2^107364180 is an apocalyptic number.

107364180 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 107364180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936).

107364180 is an abundant number, since it is smaller than the sum of its proper divisors (289771692).

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

107364180 is a wasteful number, since it uses less digits than its factorization.

107364180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1412 counting only the distinct ones).

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

The square root of 107364180 is about 10361.6687845154. The cubic root of 107364180 is about 475.2839373489.

The spelling of 107364180 in words is "one hundred seven million, three hundred sixty-four thousand, one hundred eighty".