100721443680 has 768 divisors, whose sum is σ = 423089049600. Its totient is φ = 22053150720.

The previous prime is 100721443679. The next prime is 100721443681. The reversal of 100721443680 is 86344127001.

100721443680 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 214 + 436 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100721443679) and next prime (100721443681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100721443681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29032986 + ... + 29036454.

It is an arithmetic number, because the mean of its divisors is an integer number (550897200).

Almost surely, 2^100721443680 is an apocalyptic number.

100721443680 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 100721443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211544524800).

100721443680 is an abundant number, since it is smaller than the sum of its proper divisors (322367605920).

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

100721443680 is a wasteful number, since it uses less digits than its factorization.

100721443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 100721443680 in words is "one hundred billion, seven hundred twenty-one million, four hundred forty-three thousand, six hundred eighty".