107350272 has 180 divisors, whose sum is σ = 332403456. Its totient is φ = 34421760.

The previous prime is 107350249. The next prime is 107350289. The reversal of 107350272 is 272053701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642733 + ... + 642899.

Almost surely, 2^107350272 is an apocalyptic number.

107350272 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 107350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166201728).

107350272 is an abundant number, since it is smaller than the sum of its proper divisors (225053184).

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

107350272 is an equidigital number, since it uses as much as digits as its factorization.

107350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 107350272 is about 10360.9976353631. The cubic root of 107350272 is about 475.2634136371.

The spelling of 107350272 in words is "one hundred seven million, three hundred fifty thousand, two hundred seventy-two".