16412172100 has 81 divisors (see below), whose sum is σ = 37297150807. Its totient is φ = 6268166080.

The previous prime is 16412172083. The next prime is 16412172109. The reversal of 16412172100 is 127121461.

The square root of 16412172100 is 128110.

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 5642713924 + 10769458176 = 75118^2 + 103776^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16412172109) 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, 29465022 + ... + 29465578.

Almost surely, 2^16412172100 is an apocalyptic number.

16412172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16412172100 is the 128110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16412172100

16412172100 is an abundant number, since it is smaller than the sum of its proper divisors (20884978707).

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

16412172100 is an equidigital number, since it uses as much as digits as its factorization.

16412172100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

Multiplying 16412172100 by its sum of digits (25), we get a square (410304302500 = 640550²).

16412172100 divided by its sum of digits (25) gives a square (656486884 = 25622²).

Adding to 16412172100 its reverse (127121461), we get a palindrome (16539293561).

The spelling of 16412172100 in words is "sixteen billion, four hundred twelve million, one hundred seventy-two thousand, one hundred".