101689632 has 72 divisors (see below), whose sum is σ = 315478800. Its totient is φ = 30814080.

The previous prime is 101689607. The next prime is 101689649. The reversal of 101689632 is 236986101.

101689632 is a `hidden beast` number, since 1 + 0 + 16 + 8 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12882 + ... + 19217.

It is an arithmetic number, because the mean of its divisors is an integer number (4381650).

Almost surely, 2^101689632 is an apocalyptic number.

101689632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101689632 is an abundant number, since it is smaller than the sum of its proper divisors (213789168).

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

101689632 is a wasteful number, since it uses less digits than its factorization.

101689632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32126 (or 32115 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 101689632 is about 10084.1277262835. The cubic root of 101689632 is about 466.7584889611.

The spelling of 101689632 in words is "one hundred one million, six hundred eighty-nine thousand, six hundred thirty-two".