100051398720 has 1344 divisors, whose sum is σ = 451824791040. Its totient is φ = 20711448576.

The previous prime is 100051398701. The next prime is 100051398739. The reversal of 100051398720 is 27893150001.

It is an interprime number because it is at equal distance from previous prime (100051398701) and next prime (100051398739).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1887762214 + ... + 1887762266.

It is an arithmetic number, because the mean of its divisors is an integer number (336179160).

Almost surely, 2^100051398720 is an apocalyptic number.

100051398720 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 100051398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225912395520).

100051398720 is an abundant number, since it is smaller than the sum of its proper divisors (351773392320).

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

100051398720 is an frugal number, since it uses more digits than its factorization.

100051398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 100051398720 in words is "one hundred billion, fifty-one million, three hundred ninety-eight thousand, seven hundred twenty".