103248432 has 200 divisors, whose sum is σ = 360096000. Its totient is φ = 27900288.

The previous prime is 103248421. The next prime is 103248433. The reversal of 103248432 is 234842301.

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 = 103248396 and 103248405.

It is not an unprimeable number, because it can be changed into a prime (103248433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172069 + ... + 172667.

It is an arithmetic number, because the mean of its divisors is an integer number (1800480).

Almost surely, 2^103248432 is an apocalyptic number.

103248432 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 103248432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048000).

103248432 is an abundant number, since it is smaller than the sum of its proper divisors (256847568).

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

103248432 is a wasteful number, since it uses less digits than its factorization.

103248432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 103248432 is about 10161.1235599219. The cubic root of 103248432 is about 469.1313849729.

The spelling of 103248432 in words is "one hundred three million, two hundred forty-eight thousand, four hundred thirty-two".