100587312000 has 2048 divisors, whose sum is σ = 464375808000. Its totient is φ = 20901888000.

The previous prime is 100587311999. The next prime is 100587312011. The reversal of 100587312000 is 213785001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2718575982 + ... + 2718576018.

It is an arithmetic number, because the mean of its divisors is an integer number (226746000).

Almost surely, 2^100587312000 is an apocalyptic number.

100587312000 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 100587312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232187904000).

100587312000 is an abundant number, since it is smaller than the sum of its proper divisors (363788496000).

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

100587312000 is a wasteful number, since it uses less digits than its factorization.

100587312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 100587312000 in words is "one hundred billion, five hundred eighty-seven million, three hundred twelve thousand".