100086795072 has 224 divisors, whose sum is σ = 321424035840. Its totient is φ = 30287900160.

The previous prime is 100086795049. The next prime is 100086795089. The reversal of 100086795072 is 270597680001.

It is a congruent number.

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, 15716433 + ... + 15722799.

Almost surely, 2^100086795072 is an apocalyptic number.

100086795072 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 100086795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160712017920).

100086795072 is an abundant number, since it is smaller than the sum of its proper divisors (221337240768).

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

100086795072 is a wasteful number, since it uses less digits than its factorization.

100086795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 100086795072 in words is "one hundred billion, eighty-six million, seven hundred ninety-five thousand, seventy-two".