100158787872 has 384 divisors, whose sum is σ = 347371960320. Its totient is φ = 27676062720.

The previous prime is 100158787843. The next prime is 100158787873. The reversal of 100158787872 is 278787851001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (100158787873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10249933 + ... + 10259699.

It is an arithmetic number, because the mean of its divisors is an integer number (904614480).

Almost surely, 2^100158787872 is an apocalyptic number.

100158787872 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 100158787872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173685980160).

100158787872 is an abundant number, since it is smaller than the sum of its proper divisors (247213172448).

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

100158787872 is a wasteful number, since it uses less digits than its factorization.

100158787872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9893 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 54.

The spelling of 100158787872 in words is "one hundred billion, one hundred fifty-eight million, seven hundred eighty-seven thousand, eight hundred seventy-two".