100862642488608 has 768 divisors, whose sum is σ = 395068172083200. Its totient is φ = 24177855836160.

The previous prime is 100862642488607. The next prime is 100862642488613. The reversal of 100862642488608 is 806884246268001.

100862642488608 is a `hidden beast` number, since 10 + 0 + 8 + 6 + 2 + 6 + 4 + 2 + 4 + 8 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (100862642488607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5802363885 + ... + 5802381267.

It is an arithmetic number, because the mean of its divisors is an integer number (514411682400).

Almost surely, 2^{100862642488608} is an apocalyptic number.

100862642488608 is a gapful number since it is divisible by the number (18) 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 100862642488608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197534086041600).

100862642488608 is an abundant number, since it is smaller than the sum of its proper divisors (294205529594592).

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

100862642488608 is a wasteful number, since it uses less digits than its factorization.

100862642488608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24142 (or 24128 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 100862642488608 in words is "one hundred trillion, eight hundred sixty-two billion, six hundred forty-two million, four hundred eighty-eight thousand, six hundred eight".