103280832 has 168 divisors, whose sum is σ = 318973200. Its totient is φ = 33094656.

The previous prime is 103280813. The next prime is 103280843. The reversal of 103280832 is 238082301.

It is a super-2 number, since 2×103280832² = 21333860517224448, which contains 22 as substring.

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 = 103280796 and 103280805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450894 + ... + 451122.

It is an arithmetic number, because the mean of its divisors is an integer number (1898650).

Almost surely, 2^103280832 is an apocalyptic number.

103280832 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 103280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159486600).

103280832 is an abundant number, since it is smaller than the sum of its proper divisors (215692368).

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

103280832 is an equidigital number, since it uses as much as digits as its factorization.

103280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103280832 is about 10162.7177467447. The cubic root of 103280832 is about 469.1804519560.

The spelling of 103280832 in words is "one hundred three million, two hundred eighty thousand, eight hundred thirty-two".