15954216100 has 81 divisors (see below), whose sum is σ = 36826516867. Its totient is φ = 5998209280.

The previous prime is 15954216071. The next prime is 15954216119. The reversal of 15954216100 is 161245951.

It is a happy number.

The square root of 15954216100 is 126310.

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 373185124 + 15581030976 = 19318^2 + 124824^2 .

It is a super-2 number, since 2×15954216100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21472329 + ... + 21473071.

Almost surely, 2^15954216100 is an apocalyptic number.

15954216100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15954216100 is the 126310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15954216100

15954216100 is an abundant number, since it is smaller than the sum of its proper divisors (20872300767).

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

15954216100 is an equidigital number, since it uses as much as digits as its factorization.

15954216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 15954216100 in words is "fifteen billion, nine hundred fifty-four million, two hundred sixteen thousand, one hundred".