103961232 has 80 divisors (see below), whose sum is σ = 302192960. Its totient is φ = 34642080.

The previous prime is 103961213. The next prime is 103961251. The reversal of 103961232 is 232169301.

103961232 is a `hidden beast` number, since 10 + 3 + 9 + 612 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (103961213) and next prime (103961251).

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 = 103961196 and 103961205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33507 + ... + 36477.

It is an arithmetic number, because the mean of its divisors is an integer number (3777412).

Almost surely, 2^103961232 is an apocalyptic number.

103961232 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 103961232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151096480).

103961232 is an abundant number, since it is smaller than the sum of its proper divisors (198231728).

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

103961232 is an frugal number, since it uses more digits than its factorization.

103961232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 103961232 is about 10196.1380924348. The cubic root of 103961232 is about 470.2084966004.

It can be divided in two parts, 10396 and 1232, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 103961232 in words is "one hundred three million, nine hundred sixty-one thousand, two hundred thirty-two".