107032016 has 160 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 38817792.

The previous prime is 107032001. The next prime is 107032027. The reversal of 107032016 is 610230701.

It is a happy number.

It is a super-2 number, since 2×107032016² = 22911704898048512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466156 + ... + 1466228.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^107032016 is an apocalyptic number.

107032016 is a gapful number since it is divisible by the number (16) 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 107032016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

107032016 is an abundant number, since it is smaller than the sum of its proper divisors (170450224).

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

107032016 is a wasteful number, since it uses less digits than its factorization.

107032016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 107032016 is about 10345.6278688149. The cubic root of 107032016 is about 474.7932854919.

Adding to 107032016 its reverse (610230701), we get a palindrome (717262717).

The spelling of 107032016 in words is "one hundred seven million, thirty-two thousand, sixteen".