103638432 has 48 divisors (see below), whose sum is σ = 272668032. Its totient is φ = 34467840.

The previous prime is 103638427. The next prime is 103638463. The reversal of 103638432 is 234836301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×103638432³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103638432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54457 + ... + 56327.

It is an arithmetic number, because the mean of its divisors is an integer number (5680584).

Almost surely, 2^103638432 is an apocalyptic number.

103638432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103638432 is an abundant number, since it is smaller than the sum of its proper divisors (169029600).

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

103638432 is a wasteful number, since it uses less digits than its factorization.

103638432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 103638432 is about 10180.2962628796. The cubic root of 103638432 is about 469.7213256706.

The spelling of 103638432 in words is "one hundred three million, six hundred thirty-eight thousand, four hundred thirty-two".