16432676100 has 81 divisors (see below), whose sum is σ = 51519367263. Its totient is φ = 4381021440.

The previous prime is 16432676093. The next prime is 16432676107. The reversal of 16432676100 is 167623461.

It is a happy number.

The square root of 16432676100 is 128190.

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

16432676100 is a `hidden beast` number, since 1 + 6 + 4 + 32 + 6 + 7 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16432676093) and next prime (16432676107).

It can be written as a sum of positive squares in 4 ways, for example, as 2256440004 + 14176236096 = 47502^2 + 119064^2 .

It is a super-2 number, since 2×16432676100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16432676107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3843564 + ... + 3847836.

Almost surely, 2^16432676100 is an apocalyptic number.

16432676100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16432676100 is the 128190-th square number.

It is an amenable number.

16432676100 is an abundant number, since it is smaller than the sum of its proper divisors (35086691163).

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

16432676100 is an equidigital number, since it uses as much as digits as its factorization.

16432676100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 16432676100 by its sum of digits (36), we get a square (591576339600 = 769140²).

16432676100 divided by its sum of digits (36) gives a square (456463225 = 21365²).

The spelling of 16432676100 in words is "sixteen billion, four hundred thirty-two million, six hundred seventy-six thousand, one hundred".