16876608100 has 81 divisors (see below), whose sum is σ = 40288310923. Its totient is φ = 6131752000.

The previous prime is 16876608079. The next prime is 16876608121. The reversal of 16876608100 is 180667861.

The square root of 16876608100 is 129910.

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

It is an interprime number because it is at equal distance from previous prime (16876608079) and next prime (16876608121).

It can be written as a sum of positive squares in 4 ways, for example, as 2000415076 + 14876193024 = 44726^2 + 121968^2 .

It is a super-2 number, since 2×16876608100² (a number of 21 digits) contains 22 as substring.

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, 14289510 + ... + 14290690.

Almost surely, 2^16876608100 is an apocalyptic number.

16876608100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16876608100 is the 129910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16876608100

16876608100 is an abundant number, since it is smaller than the sum of its proper divisors (23411702823).

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

16876608100 is a wasteful number, since it uses less digits than its factorization.

16876608100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 16876608100 in words is "sixteen billion, eight hundred seventy-six million, six hundred eight thousand, one hundred".