107853216 has 48 divisors (see below), whose sum is σ = 292255488. Its totient is φ = 34790400.

The previous prime is 107853199. The next prime is 107853241. The reversal of 107853216 is 612358701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15145 + ... + 21096.

It is an arithmetic number, because the mean of its divisors is an integer number (6088656).

Almost surely, 2^107853216 is an apocalyptic number.

107853216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107853216 is an abundant number, since it is smaller than the sum of its proper divisors (184402272).

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

107853216 is a wasteful number, since it uses less digits than its factorization.

107853216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36285 (or 36277 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 107853216 is about 10385.2402957274. The cubic root of 107853216 is about 476.0044723352.

The spelling of 107853216 in words is "one hundred seven million, eight hundred fifty-three thousand, two hundred sixteen".