107485632 has 84 divisors (see below), whose sum is σ = 310018176. Its totient is φ = 35604480.

The previous prime is 107485627. The next prime is 107485633. The reversal of 107485632 is 236584701.

107485632 is a `hidden beast` number, since 10 + 7 + 4 + 8 + 5 + 632 = 666.

It is a super-2 number, since 2×107485632² = 23106322172878848, which contains 22 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 not an unprimeable number, because it can be changed into a prime (107485633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109528 + ... + 110504.

Almost surely, 2^107485632 is an apocalyptic number.

107485632 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 107485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155009088).

107485632 is an abundant number, since it is smaller than the sum of its proper divisors (202532544).

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

107485632 is a wasteful number, since it uses less digits than its factorization.

107485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 107485632 is about 10367.5277670233. The cubic root of 107485632 is about 475.4630859633.

The spelling of 107485632 in words is "one hundred seven million, four hundred eighty-five thousand, six hundred thirty-two".