103907232 has 288 divisors, whose sum is σ = 368746560. Its totient is φ = 28062720.

The previous prime is 103907227. The next prime is 103907263. The reversal of 103907232 is 232709301.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 103907196 and 103907205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3582994 + ... + 3583022.

It is an arithmetic number, because the mean of its divisors is an integer number (1280370).

Almost surely, 2^103907232 is an apocalyptic number.

103907232 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 103907232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184373280).

103907232 is an abundant number, since it is smaller than the sum of its proper divisors (264839328).

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

103907232 is a wasteful number, since it uses less digits than its factorization.

103907232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 103907232 is about 10193.4896870503. The cubic root of 103907232 is about 470.1270699125.

The spelling of 103907232 in words is "one hundred three million, nine hundred seven thousand, two hundred thirty-two".