10117632 has 80 divisors (see below), whose sum is σ = 30837312. Its totient is φ = 2887680.

The previous prime is 10117619. The next prime is 10117663. The reversal of 10117632 is 23671101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10117599 and 10117608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10282 + ... + 11222.

Almost surely, 2^10117632 is an apocalyptic number.

10117632 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 10117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418656).

10117632 is an abundant number, since it is smaller than the sum of its proper divisors (20719680).

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

10117632 is an frugal number, since it uses more digits than its factorization.

10117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10117632 is about 3180.8225351314. The cubic root of 10117632 is about 216.2849462941.

Adding to 10117632 its reverse (23671101), we get a palindrome (33788733).

The spelling of 10117632 in words is "ten million, one hundred seventeen thousand, six hundred thirty-two".