103764720400 has 120 divisors (see below), whose sum is σ = 272286572544. Its totient is φ = 37687027200.

The previous prime is 103764720391. The next prime is 103764720401. The reversal of 103764720400 is 4027467301.

It is not an unprimeable number, because it can be changed into a prime (103764720401) 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, 3739377 + ... + 3767023.

Almost surely, 2^103764720400 is an apocalyptic number.

103764720400 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 103764720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136143286272).

103764720400 is an abundant number, since it is smaller than the sum of its proper divisors (168521852144).

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

103764720400 is a wasteful number, since it uses less digits than its factorization.

103764720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28529 (or 28518 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 103764720400 in words is "one hundred three billion, seven hundred sixty-four million, seven hundred twenty thousand, four hundred".