103968720 has 120 divisors (see below), whose sum is σ = 351412776. Its totient is φ = 27546624.

The previous prime is 103968673. The next prime is 103968721. The reversal of 103968720 is 27869301.

It can be written as a sum of positive squares in 4 ways, for example, as 69956496 + 34012224 = 8364^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103968721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141474 + ... + 142206.

Almost surely, 2^103968720 is an apocalyptic number.

103968720 is a gapful number since it is divisible by the number (10) 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 103968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175706388).

103968720 is an abundant number, since it is smaller than the sum of its proper divisors (247444056).

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

103968720 is a wasteful number, since it uses less digits than its factorization.

103968720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 103968720 is about 10196.5052836744. The cubic root of 103968720 is about 470.2197855415.

The spelling of 103968720 in words is "one hundred three million, nine hundred sixty-eight thousand, seven hundred twenty".