103578912 has 120 divisors (see below), whose sum is σ = 308731500. Its totient is φ = 34062336.

The previous prime is 103578901. The next prime is 103578919. The reversal of 103578912 is 219875301.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 1245456 = 10116^2 + 1116^2 .

It is a super-3 number, since 3×103578912³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103578919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230464 + ... + 230912.

Almost surely, 2^103578912 is an apocalyptic number.

103578912 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 103578912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365750).

103578912 is an abundant number, since it is smaller than the sum of its proper divisors (205152588).

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

103578912 is an equidigital number, since it uses as much as digits as its factorization.

103578912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 103578912 is about 10177.3725489441. The cubic root of 103578912 is about 469.6313874544.

The spelling of 103578912 in words is "one hundred three million, five hundred seventy-eight thousand, nine hundred twelve".