100083689472 has 384 divisors, whose sum is σ = 300809134080. Its totient is φ = 29382082560.

The previous prime is 100083689443. The next prime is 100083689507. The reversal of 100083689472 is 274986380001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205510413 + ... + 205510899.

It is an arithmetic number, because the mean of its divisors is an integer number (783357120).

Almost surely, 2^100083689472 is an apocalyptic number.

100083689472 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 100083689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150404567040).

100083689472 is an abundant number, since it is smaller than the sum of its proper divisors (200725444608).

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

100083689472 is a wasteful number, since it uses less digits than its factorization.

100083689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 100083689472 in words is "one hundred billion, eighty-three million, six hundred eighty-nine thousand, four hundred seventy-two".