107353136 has 60 divisors (see below), whose sum is σ = 232048392. Its totient is φ = 48109600.

The previous prime is 107353117. The next prime is 107353153. The reversal of 107353136 is 631353701.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×107353136³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107353099 and 107353108.

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, 1511981 + ... + 1512051.

Almost surely, 2^107353136 is an apocalyptic number.

107353136 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 107353136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116024196).

107353136 is an abundant number, since it is smaller than the sum of its proper divisors (124695256).

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

107353136 is an frugal number, since it uses more digits than its factorization.

107353136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 107353136 is about 10361.1358450703. The cubic root of 107353136 is about 475.2676401201.

The spelling of 107353136 in words is "one hundred seven million, three hundred fifty-three thousand, one hundred thirty-six".