103923432 has 128 divisors (see below), whose sum is σ = 301593600. Its totient is φ = 33130944.

The previous prime is 103923427. The next prime is 103923433. The reversal of 103923432 is 234329301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103923396 and 103923405.

It is not an unprimeable number, because it can be changed into a prime (103923433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622213 + ... + 622379.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 2^103923432 is an apocalyptic number.

103923432 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 103923432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

103923432 is an abundant number, since it is smaller than the sum of its proper divisors (197670168).

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

103923432 is a wasteful number, since it uses less digits than its factorization.

103923432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103923432 is about 10194.2842809096. The cubic root of 103923432 is about 470.1515008804.

It can be divided in two parts, 10392 and 3432, that added together give a cube (13824 = 24³).

The spelling of 103923432 in words is "one hundred three million, nine hundred twenty-three thousand, four hundred thirty-two".