103056096 has 96 divisors (see below), whose sum is σ = 317858688. Its totient is φ = 28823040.

The previous prime is 103056073. The next prime is 103056097. The reversal of 103056096 is 690650301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103056096² = 21241117845522432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103056097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9975 + ... + 17481.

It is an arithmetic number, because the mean of its divisors is an integer number (3311028).

Almost surely, 2^103056096 is an apocalyptic number.

103056096 is a gapful number since it is divisible by the number (16) 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 103056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158929344).

103056096 is an abundant number, since it is smaller than the sum of its proper divisors (214802592).

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

103056096 is a wasteful number, since it uses less digits than its factorization.

103056096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7536 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 103056096 is about 10151.6548404681. The cubic root of 103056096 is about 468.8398972828.

The spelling of 103056096 in words is "one hundred three million, fifty-six thousand, ninety-six".