100285137888 has 192 divisors, whose sum is σ = 308048025600. Its totient is φ = 28289710080.

The previous prime is 100285137881. The next prime is 100285137899. The reversal of 100285137888 is 888731582001.

It is a self number, because there is not a number n which added to its sum of digits gives 100285137888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100285137881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666858 + ... + 803286.

It is an arithmetic number, because the mean of its divisors is an integer number (1604416800).

Almost surely, 2^100285137888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100285137888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154024012800).

100285137888 is an abundant number, since it is smaller than the sum of its proper divisors (207762887712).

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

100285137888 is a wasteful number, since it uses less digits than its factorization.

100285137888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136505 (or 136497 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The spelling of 100285137888 in words is "one hundred billion, two hundred eighty-five million, one hundred thirty-seven thousand, eight hundred eighty-eight".