100985132088000 has 1008 divisors, whose sum is σ = 381687415720416. Its totient is φ = 25483042713600.

The previous prime is 100985132087971. The next prime is 100985132088041. The reversal of 100985132088000 is 880231589001.

It is a happy number.

100985132088000 is a `hidden beast` number, since 100 + 9 + 8 + 513 + 20 + 8 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31528294399 + ... + 31528297601.

Almost surely, 2^{100985132088000} is an apocalyptic number.

100985132088000 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 100985132088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190843707860208).

100985132088000 is an abundant number, since it is smaller than the sum of its proper divisors (280702283632416).

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

100985132088000 is a wasteful number, since it uses less digits than its factorization.

100985132088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 100985132088000 in words is "one hundred trillion, nine hundred eighty-five billion, one hundred thirty-two million, eighty-eight thousand".