107809632 has 144 divisors (see below), whose sum is σ = 357346080. Its totient is φ = 30191616.

The previous prime is 107809627. The next prime is 107809649. The reversal of 107809632 is 236908701.

107809632 is a `hidden beast` number, since 10 + 7 + 8 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×107809632³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106344 + ... + 107352.

It is an arithmetic number, because the mean of its divisors is an integer number (2481570).

Almost surely, 2^107809632 is an apocalyptic number.

107809632 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 107809632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178673040).

107809632 is an abundant number, since it is smaller than the sum of its proper divisors (249536448).

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

107809632 is a wasteful number, since it uses less digits than its factorization.

107809632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107809632 is about 10383.1417210785. The cubic root of 107809632 is about 475.9403451357.

The spelling of 107809632 in words is "one hundred seven million, eight hundred nine thousand, six hundred thirty-two".