102085632 has 264 divisors, whose sum is σ = 344878560. Its totient is φ = 28753920.

The previous prime is 102085591. The next prime is 102085637. The reversal of 102085632 is 236580201.

102085632 is a `hidden beast` number, since 1 + 0 + 20 + 8 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 102085596 and 102085605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102085637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926118 + ... + 1926170.

Almost surely, 2^102085632 is an apocalyptic number.

102085632 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 102085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172439280).

102085632 is an abundant number, since it is smaller than the sum of its proper divisors (242792928).

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

102085632 is a wasteful number, since it uses less digits than its factorization.

102085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102085632 is about 10103.7434646768. The cubic root of 102085632 is about 467.3635881755.

The spelling of 102085632 in words is "one hundred two million, eighty-five thousand, six hundred thirty-two".