109312632 has 128 divisors (see below), whose sum is σ = 356832000. Its totient is φ = 30568320.

The previous prime is 109312631. The next prime is 109312633. The reversal of 109312632 is 236213901.

109312632 is a `hidden beast` number, since 10 + 9 + 3 + 12 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (109312631) and next prime (109312633).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 109312596 and 109312605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109312631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29119 + ... + 32657.

It is an arithmetic number, because the mean of its divisors is an integer number (2787750).

Almost surely, 2^109312632 is an apocalyptic number.

109312632 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 109312632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178416000).

109312632 is an abundant number, since it is smaller than the sum of its proper divisors (247519368).

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

109312632 is a wasteful number, since it uses less digits than its factorization.

109312632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 109312632 is about 10455.2681457723. The cubic root of 109312632 is about 478.1418788351.

The spelling of 109312632 in words is "one hundred nine million, three hundred twelve thousand, six hundred thirty-two".