107131032 has 64 divisors (see below), whose sum is σ = 304869600. Its totient is φ = 34836480.

The previous prime is 107130979. The next prime is 107131039. The reversal of 107131032 is 230131701.

It is a super-2 number, since 2×107131032² = 22954116034770048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107130996 and 107131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107131039) 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 15 ways as a sum of consecutive naturals, for example, 2808 + ... + 14904.

Almost surely, 2^107131032 is an apocalyptic number.

107131032 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 107131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152434800).

107131032 is an abundant number, since it is smaller than the sum of its proper divisors (197738568).

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

107131032 is a wasteful number, since it uses less digits than its factorization.

107131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12153 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107131032 is about 10350.4121657063. The cubic root of 107131032 is about 474.9396517976.

Adding to 107131032 its reverse (230131701), we get a palindrome (337262733).

The spelling of 107131032 in words is "one hundred seven million, one hundred thirty-one thousand, thirty-two".