100239476870016 has 512 divisors, whose sum is σ = 335695391539200. Its totient is φ = 29171301120000.

The previous prime is 100239476869933. The next prime is 100239476870059. The reversal of 100239476870016 is 610078674932001.

100239476870016 is a `hidden beast` number, since 100 + 2 + 394 + 76 + 8 + 70 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154058331 + ... + 154707621.

It is an arithmetic number, because the mean of its divisors is an integer number (655655061600).

Almost surely, 2^{100239476870016} is an apocalyptic number.

100239476870016 is a gapful number since it is divisible by the number (16) 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 100239476870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167847695769600).

100239476870016 is an abundant number, since it is smaller than the sum of its proper divisors (235455914669184).

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

100239476870016 is a wasteful number, since it uses less digits than its factorization.

100239476870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649487 (or 649469 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 100239476870016 in words is "one hundred trillion, two hundred thirty-nine billion, four hundred seventy-six million, eight hundred seventy thousand, sixteen".