107355072 has 84 divisors (see below), whose sum is σ = 312280808. Its totient is φ = 32524800.

The previous prime is 107355067. The next prime is 107355089. The reversal of 107355072 is 270553701.

It is a super-2 number, since 2×107355072² = 23050222968250368, which contains 22 as substring.

It is a zygodrome in base 11.

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, 20922 + ... + 25542.

Almost surely, 2^107355072 is an apocalyptic number.

107355072 is a gapful number since it is divisible by the number (12) 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 107355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156140404).

107355072 is an abundant number, since it is smaller than the sum of its proper divisors (204925736).

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

107355072 is a wasteful number, since it uses less digits than its factorization.

107355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 107355072 is about 10361.2292706995. The cubic root of 107355072 is about 475.2704970856.

The spelling of 107355072 in words is "one hundred seven million, three hundred fifty-five thousand, seventy-two".