103306896 has 225 divisors, whose sum is σ = 369947955. Its totient is φ = 26832960.

The previous prime is 103306877. The next prime is 103306901. The reversal of 103306896 is 698603301.

It is a happy number.

The square root of 103306896 is 10164.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×103306896³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103306896.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9391531 + ... + 9391541.

Almost surely, 2^103306896 is an apocalyptic number.

103306896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103306896 is the 10164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103306896

103306896 is an abundant number, since it is smaller than the sum of its proper divisors (266641059).

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

103306896 is an equidigital number, since it uses as much as digits as its factorization.

103306896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 103306896 is about 469.2199161707.

Multiplying 103306896 by its sum of digits (36), we get a square (3719048256 = 60984²).

103306896 divided by its sum of digits (36) gives a square (2869636 = 1694²).

The spelling of 103306896 in words is "one hundred three million, three hundred six thousand, eight hundred ninety-six".