100858367118336 has 176 divisors, whose sum is σ = 284650671451104. Its totient is φ = 31640378146816.

The previous prime is 100858367118287. The next prime is 100858367118337. The reversal of 100858367118336 is 633811763858001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100858367118336.

It is not an unprimeable number, because it can be changed into a prime (100858367118337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923540376 + ... + 1923592808.

Almost surely, 2^{100858367118336} is an apocalyptic number.

100858367118336 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 100858367118336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142325335725552).

100858367118336 is an abundant number, since it is smaller than the sum of its proper divisors (183792304332768).

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

100858367118336 is a wasteful number, since it uses less digits than its factorization.

100858367118336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89306 (or 89288 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 100858367118336 in words is "one hundred trillion, eight hundred fifty-eight billion, three hundred sixty-seven million, one hundred eighteen thousand, three hundred thirty-six".