108421632 has 320 divisors, whose sum is σ = 377118720. Its totient is φ = 30412800.

The previous prime is 108421627. The next prime is 108421637. The reversal of 108421632 is 236124801.

108421632 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 21 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (108421627) and next prime (108421637).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 = 108421596 and 108421605.

It is not an unprimeable number, because it can be changed into a prime (108421637) 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, 3497457 + ... + 3497487.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^108421632 is an apocalyptic number.

108421632 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 108421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

108421632 is an abundant number, since it is smaller than the sum of its proper divisors (268697088).

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

108421632 is a wasteful number, since it uses less digits than its factorization.

108421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 108421632 is about 10412.5708641046. The cubic root of 108421632 is about 476.8392322417.

The spelling of 108421632 in words is "one hundred eight million, four hundred twenty-one thousand, six hundred thirty-two".