103581312 has 64 divisors (see below), whose sum is σ = 289639200. Its totient is φ = 32707584.

The previous prime is 103581299. The next prime is 103581347. The reversal of 103581312 is 213185301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×103581312³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 14394.

Almost surely, 2^103581312 is an apocalyptic number.

103581312 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 103581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144819600).

103581312 is an abundant number, since it is smaller than the sum of its proper divisors (186057888).

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

103581312 is a wasteful number, since it uses less digits than its factorization.

103581312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 103581312 is about 10177.4904568857. The cubic root of 103581312 is about 469.6350146619.

The spelling of 103581312 in words is "one hundred three million, five hundred eighty-one thousand, three hundred twelve".