100912607820 has 144 divisors (see below), whose sum is σ = 308168471520. Its totient is φ = 26728704000.

The previous prime is 100912607759. The next prime is 100912607821. The reversal of 100912607820 is 28706219001.

100912607820 is a `hidden beast` number, since 10 + 0 + 9 + 12 + 607 + 8 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100912607821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39127291 + ... + 39129869.

It is an arithmetic number, because the mean of its divisors is an integer number (2140058830).

Almost surely, 2^100912607820 is an apocalyptic number.

100912607820 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 100912607820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154084235760).

100912607820 is an abundant number, since it is smaller than the sum of its proper divisors (207255863700).

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

100912607820 is a wasteful number, since it uses less digits than its factorization.

100912607820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 100912607820 in words is "one hundred billion, nine hundred twelve million, six hundred seven thousand, eight hundred twenty".