100532016000 has 1536 divisors, whose sum is σ = 429795849600. Its totient is φ = 23290675200.

The previous prime is 100532015999. The next prime is 100532016059. The reversal of 100532016000 is 610235001.

100532016000 is a `hidden beast` number, since 10 + 0 + 53 + 2 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5913647992 + ... + 5913648008.

Almost surely, 2^100532016000 is an apocalyptic number.

100532016000 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 100532016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214897924800).

100532016000 is an abundant number, since it is smaller than the sum of its proper divisors (329263833600).

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

100532016000 is an frugal number, since it uses more digits than its factorization.

100532016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 100532016000 in words is "one hundred billion, five hundred thirty-two million, sixteen thousand".