100387845360 has 240 divisors, whose sum is σ = 380467657440. Its totient is φ = 23497205760.

The previous prime is 100387845293. The next prime is 100387845403. The reversal of 100387845360 is 63548783001.

100387845360 is a `hidden beast` number, since 1 + 0 + 0 + 38 + 7 + 84 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11142 + ... + 448218.

It is an arithmetic number, because the mean of its divisors is an integer number (1585281906).

Almost surely, 2^100387845360 is an apocalyptic number.

100387845360 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 100387845360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190233828720).

100387845360 is an abundant number, since it is smaller than the sum of its proper divisors (280079812080).

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

100387845360 is a wasteful number, since it uses less digits than its factorization.

100387845360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437136 (or 437127 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 100387845360 in words is "one hundred billion, three hundred eighty-seven million, eight hundred forty-five thousand, three hundred sixty".