107213568 has 288 divisors, whose sum is σ = 372825600. Its totient is φ = 27095040.

The previous prime is 107213563. The next prime is 107213581. The reversal of 107213568 is 865312701.

It is a super-2 number, since 2×107213568² = 22989498326581248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107213563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897646 + ... + 2897682.

Almost surely, 2^107213568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186412800).

107213568 is an abundant number, since it is smaller than the sum of its proper divisors (265612032).

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

107213568 is an equidigital number, since it uses as much as digits as its factorization.

107213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 107213568 is about 10354.3984856678. The cubic root of 107213568 is about 475.0615883207.

The spelling of 107213568 in words is "one hundred seven million, two hundred thirteen thousand, five hundred sixty-eight".