107205252 has 96 divisors (see below), whose sum is σ = 314280960. Its totient is φ = 27630720.

The previous prime is 107205227. The next prime is 107205271. The reversal of 107205252 is 252502701.

It is a super-2 number, since 2×107205252² = 22985932112767008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144699 + ... + 145437.

It is an arithmetic number, because the mean of its divisors is an integer number (3273760).

Almost surely, 2^107205252 is an apocalyptic number.

107205252 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 107205252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157140480).

107205252 is an abundant number, since it is smaller than the sum of its proper divisors (207075708).

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

107205252 is a wasteful number, since it uses less digits than its factorization.

107205252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 107205252 is about 10353.9969094065. The cubic root of 107205252 is about 475.0493053159.

Adding to 107205252 its reverse (252502701), we get a palindrome (359707953).

The spelling of 107205252 in words is "one hundred seven million, two hundred five thousand, two hundred fifty-two".