107180352 has 84 divisors (see below), whose sum is σ = 311543700. Its totient is φ = 35223552.

The previous prime is 107180347. The next prime is 107180357. The reversal of 107180352 is 253081701.

It is an interprime number because it is at equal distance from previous prime (107180347) and next prime (107180357).

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 24443136 = 9096^2 + 4944^2 .

It is a super-2 number, since 2×107180352² = 22975255709687808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107180357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40774 + ... + 43322.

Almost surely, 2^107180352 is an apocalyptic number.

107180352 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 107180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155771850).

107180352 is an abundant number, since it is smaller than the sum of its proper divisors (204363348).

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

107180352 is a wasteful number, since it uses less digits than its factorization.

107180352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107180352 is about 10352.7944053767. The cubic root of 107180352 is about 475.0125234002.

The spelling of 107180352 in words is "one hundred seven million, one hundred eighty thousand, three hundred fifty-two".