15274488100 has 81 divisors (see below), whose sum is σ = 35258572083. Its totient is φ = 5742485760.

The previous prime is 15274488077. The next prime is 15274488109. The reversal of 15274488100 is 188447251.

The square root of 15274488100 is 123590.

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 357285604 + 14917202496 = 18902^2 + 122136^2 .

It is a super-2 number, since 2×15274488100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15274488109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21009937 + ... + 21010663.

Almost surely, 2^15274488100 is an apocalyptic number.

15274488100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15274488100 is the 123590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15274488100

15274488100 is an abundant number, since it is smaller than the sum of its proper divisors (19984083983).

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

15274488100 is an equidigital number, since it uses as much as digits as its factorization.

15274488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 15274488100 in words is "fifteen billion, two hundred seventy-four million, four hundred eighty-eight thousand, one hundred".