100074789100 has 288 divisors, whose sum is σ = 271554619392. Its totient is φ = 31449600000.

The previous prime is 100074789011. The next prime is 100074789107. The reversal of 100074789100 is 1987470001.

It is a self number, because there is not a number n which added to its sum of digits gives 100074789100.

It is not an unprimeable number, because it can be changed into a prime (100074789107) 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 95 ways as a sum of consecutive naturals, for example, 51293125 + ... + 51295075.

It is an arithmetic number, because the mean of its divisors is an integer number (942897984).

Almost surely, 2^100074789100 is an apocalyptic number.

100074789100 is a gapful number since it is divisible by the number (10) 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 100074789100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135777309696).

100074789100 is an abundant number, since it is smaller than the sum of its proper divisors (171479830292).

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

100074789100 is a wasteful number, since it uses less digits than its factorization.

100074789100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 100074789100 in words is "one hundred billion, seventy-four million, seven hundred eighty-nine thousand, one hundred".