100150083864 has 96 divisors (see below), whose sum is σ = 273836609280. Its totient is φ = 33064184832.

The previous prime is 100150083863. The next prime is 100150083937. The reversal of 100150083864 is 468380051001.

100150083864 is a `hidden beast` number, since 10 + 0 + 1 + 500 + 83 + 8 + 64 = 666.

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 (100150083863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14096137 + ... + 14103239.

It is an arithmetic number, because the mean of its divisors is an integer number (2852464680).

Almost surely, 2^100150083864 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 100150083864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136918304640).

100150083864 is an abundant number, since it is smaller than the sum of its proper divisors (173686525416).

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

100150083864 is a wasteful number, since it uses less digits than its factorization.

100150083864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 100150083864 in words is "one hundred billion, one hundred fifty million, eighty-three thousand, eight hundred sixty-four".