103972096 has 36 divisors (see below), whose sum is σ = 208224324. Its totient is φ = 51814400.

The previous prime is 103972093. The next prime is 103972111. The reversal of 103972096 is 690279301.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 78570496 = 5040^2 + 8864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103972093) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 117576 + ... + 118456.

It is an arithmetic number, because the mean of its divisors is an integer number (5784009).

Almost surely, 2^103972096 is an apocalyptic number.

103972096 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 103972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104112162).

103972096 is an abundant number, since it is smaller than the sum of its proper divisors (104252228).

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

103972096 is an frugal number, since it uses more digits than its factorization.

103972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 103972096 is about 10196.6708292462. The cubic root of 103972096 is about 470.2248750364.

The spelling of 103972096 in words is "one hundred three million, nine hundred seventy-two thousand, ninety-six".