100102558938606 has 144 divisors (see below), whose sum is σ = 267689004931296. Its totient is φ = 26863059428352.

The previous prime is 100102558938583. The next prime is 100102558938659. The reversal of 100102558938606 is 606839855201001.

100102558938606 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 2 + 558 + 9 + 3 + 86 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447690 + ... + 14156466.

It is an arithmetic number, because the mean of its divisors is an integer number (1858951423134).

Almost surely, 2^{100102558938606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102558938606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133844502465648).

100102558938606 is an abundant number, since it is smaller than the sum of its proper divisors (167586445992690).

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

100102558938606 is a wasteful number, since it uses less digits than its factorization.

100102558938606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709303 (or 13709293 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 100102558938606 in words is "one hundred trillion, one hundred two billion, five hundred fifty-eight million, nine hundred thirty-eight thousand, six hundred six".