107252352 has 96 divisors (see below), whose sum is σ = 311119380. Its totient is φ = 35463168.

The previous prime is 107252311. The next prime is 107252377. The reversal of 107252352 is 253252701.

It can be written as a sum of positive squares in 2 ways, for example, as 106998336 + 254016 = 10344^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 180568 + ... + 181160.

Almost surely, 2^107252352 is an apocalyptic number.

107252352 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 107252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155559690).

107252352 is an abundant number, since it is smaller than the sum of its proper divisors (203867028).

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

107252352 is a wasteful number, since it uses less digits than its factorization.

107252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 107252352 is about 10356.2711436115. The cubic root of 107252352 is about 475.1188651739.

The spelling of 107252352 in words is "one hundred seven million, two hundred fifty-two thousand, three hundred fifty-two".