107266016 has 72 divisors (see below), whose sum is σ = 250096392. Its totient is φ = 44985600.

The previous prime is 107266009. The next prime is 107266051. The reversal of 107266016 is 610662701.

It is a self number, because there is not a number n which added to its sum of digits gives 107266016.

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, 49271 + ... + 51401.

It is an arithmetic number, because the mean of its divisors is an integer number (3473561).

Almost surely, 2^107266016 is an apocalyptic number.

107266016 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 107266016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125048196).

107266016 is an abundant number, since it is smaller than the sum of its proper divisors (142830376).

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

107266016 is a wasteful number, since it uses less digits than its factorization.

107266016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 107266016 is about 10356.9308195044. The cubic root of 107266016 is about 475.1390411060.

The spelling of 107266016 in words is "one hundred seven million, two hundred sixty-six thousand, sixteen".