107369120 has 48 divisors (see below), whose sum is σ = 261854208. Its totient is φ = 41560320.

The previous prime is 107369117. The next prime is 107369131. The reversal of 107369120 is 21963701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5864 + ... + 15783.

It is an arithmetic number, because the mean of its divisors is an integer number (5455296).

Almost surely, 2^107369120 is an apocalyptic number.

107369120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107369120 is an abundant number, since it is smaller than the sum of its proper divisors (154485088).

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

107369120 is a wasteful number, since it uses less digits than its factorization.

107369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21693 (or 21685 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 107369120 is about 10361.9071603639. The cubic root of 107369120 is about 475.2912267653.

The spelling of 107369120 in words is "one hundred seven million, three hundred sixty-nine thousand, one hundred twenty".