107813532 has 72 divisors (see below), whose sum is σ = 267699600. Its totient is φ = 33727232.

The previous prime is 107813479. The next prime is 107813533. The reversal of 107813532 is 235318701.

It is a self number, because there is not a number n which added to its sum of digits gives 107813532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107813533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211344 + ... + 1211432.

It is an arithmetic number, because the mean of its divisors is an integer number (3718050).

Almost surely, 2^107813532 is an apocalyptic number.

107813532 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 107813532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133849800).

107813532 is an abundant number, since it is smaller than the sum of its proper divisors (159886068).

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

107813532 is a wasteful number, since it uses less digits than its factorization.

107813532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 107813532 is about 10383.3295238088. The cubic root of 107813532 is about 475.9460840940.

It can be divided in two parts, 107813 and 532, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 107813532 in words is "one hundred seven million, eight hundred thirteen thousand, five hundred thirty-two".