10123632 has 60 divisors (see below), whose sum is σ = 28548520. Its totient is φ = 3348864.

The previous prime is 10123601. The next prime is 10123649. The reversal of 10123632 is 23632101.

10123632 is a `hidden beast` number, since 10 + 1 + 23 + 632 = 666.

10123632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32823 + ... + 33129.

Almost surely, 2^10123632 is an apocalyptic number.

10123632 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 10123632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274260).

10123632 is an abundant number, since it is smaller than the sum of its proper divisors (18424888).

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

10123632 is a wasteful number, since it uses less digits than its factorization.

10123632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10123632 is about 3181.7655476166. The cubic root of 10123632 is about 216.3276919102.

Adding to 10123632 its reverse (23632101), we get a palindrome (33755733).

It can be divided in two parts, 101 and 23632, that multiplied together give a palindrome (2386832).

The spelling of 10123632 in words is "ten million, one hundred twenty-three thousand, six hundred thirty-two".