103572896 has 48 divisors (see below), whose sum is σ = 238480704. Its totient is φ = 43352064.

The previous prime is 103572881. The next prime is 103572919. The reversal of 103572896 is 698275301.

It is a super-3 number, since 3×103572896³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4256 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (4968348).

Almost surely, 2^103572896 is an apocalyptic number.

103572896 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 103572896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119240352).

103572896 is an abundant number, since it is smaller than the sum of its proper divisors (134907808).

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

103572896 is a wasteful number, since it uses less digits than its factorization.

103572896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 103572896 is about 10177.0769870332. The cubic root of 103572896 is about 469.6222950080.

The spelling of 103572896 in words is "one hundred three million, five hundred seventy-two thousand, eight hundred ninety-six".