15378480100 has 27 divisors (see below), whose sum is σ = 33373993051. Its totient is φ = 6150896000.

The previous prime is 15378480097. The next prime is 15378480101. The reversal of 15378480100 is 108487351.

The square root of 15378480100 is 124010.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1076233636 + 14302246464 = 32806^2 + 119592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15378480100.

It is not an unprimeable number, because it can be changed into a prime (15378480101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1233900 + ... + 1246300.

Almost surely, 2^15378480100 is an apocalyptic number.

15378480100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15378480100 is the 124010-th square number.

It is an amenable number.

15378480100 is an abundant number, since it is smaller than the sum of its proper divisors (17995512951).

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

15378480100 is an frugal number, since it uses more digits than its factorization.

15378480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24816 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 15378480100 in words is "fifteen billion, three hundred seventy-eight million, four hundred eighty thousand, one hundred".