107764320 has 96 divisors (see below), whose sum is σ = 340962048. Its totient is φ = 28610048.

The previous prime is 107764303. The next prime is 107764331. The reversal of 107764320 is 23467701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107764320² = 23226297330124800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 166237 + ... + 166883.

It is an arithmetic number, because the mean of its divisors is an integer number (3551688).

Almost surely, 2^107764320 is an apocalyptic number.

107764320 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 107764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170481024).

107764320 is an abundant number, since it is smaller than the sum of its proper divisors (233197728).

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

107764320 is a wasteful number, since it uses less digits than its factorization.

107764320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 107764320 is about 10380.9594932260. The cubic root of 107764320 is about 475.8736571210.

The spelling of 107764320 in words is "one hundred seven million, seven hundred sixty-four thousand, three hundred twenty".