104142636242100 has 108 divisors (see below), whose sum is σ = 326432376076716. Its totient is φ = 27771108610560.

The previous prime is 104142636242069. The next prime is 104142636242107. The reversal of 104142636242100 is 1242636241401.

104142636242100 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 2 + 6 + 3 + 624 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20244736656 + 104122391505444 = 142284^2 + 10204038^2 .

It is a super-3 number, since 3×104142636242100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104142636242107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107077594 + ... + 108045806.

Almost surely, 2^{104142636242100} is an apocalyptic number.

104142636242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104142636242100 is an abundant number, since it is smaller than the sum of its proper divisors (222289739834616).

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

104142636242100 is a wasteful number, since it uses less digits than its factorization.

104142636242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087746 (or 1087736 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 104142636242100 in words is "one hundred four trillion, one hundred forty-two billion, six hundred thirty-six million, two hundred forty-two thousand, one hundred".