100209207672 has 320 divisors, whose sum is σ = 327084721920. Its totient is φ = 28072230912.

The previous prime is 100209207643. The next prime is 100209207691. The reversal of 100209207672 is 276702902001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78104743 + ... + 78106025.

It is an arithmetic number, because the mean of its divisors is an integer number (1022139756).

Almost surely, 2^100209207672 is an apocalyptic number.

100209207672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100209207672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163542360960).

100209207672 is an abundant number, since it is smaller than the sum of its proper divisors (226875514248).

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

100209207672 is a wasteful number, since it uses less digits than its factorization.

100209207672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 100209207672 in words is "one hundred billion, two hundred nine million, two hundred seven thousand, six hundred seventy-two".