107074016 has 72 divisors (see below), whose sum is σ = 255966480. Its totient is φ = 43878912.

The previous prime is 107073979. The next prime is 107074069. The reversal of 107074016 is 610470701.

It is a super-2 number, since 2×107074016² = 22929689804736512, 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 11 ways as a sum of consecutive naturals, for example, 34580 + ... + 37548.

It is an arithmetic number, because the mean of its divisors is an integer number (3555090).

Almost surely, 2^107074016 is an apocalyptic number.

107074016 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 107074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127983240).

107074016 is an abundant number, since it is smaller than the sum of its proper divisors (148892464).

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

107074016 is a wasteful number, since it uses less digits than its factorization.

107074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 107074016 is about 10347.6575126934. The cubic root of 107074016 is about 474.8553812739.

The spelling of 107074016 in words is "one hundred seven million, seventy-four thousand, sixteen".