104156642700000 has 1296 divisors, whose sum is σ = 420077320580736. Its totient is φ = 24434784000000.

The previous prime is 104156642699999. The next prime is 104156642700001. The reversal of 104156642700000 is 7246651401.

104156642700000 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 6 + 642 + 7 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104156642699999) and next prime (104156642700001).

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 (104156642700001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3375884574 + ... + 3375915426.

It is an arithmetic number, because the mean of its divisors is an integer number (324133735016).

Almost surely, 2^{104156642700000} is an apocalyptic number.

104156642700000 is a gapful number since it is divisible by the number (10) 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 104156642700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038660290368).

104156642700000 is an abundant number, since it is smaller than the sum of its proper divisors (315920677880736).

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

104156642700000 is a wasteful number, since it uses less digits than its factorization.

104156642700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30947 (or 30905 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 104156642700000 in words is "one hundred four trillion, one hundred fifty-six billion, six hundred forty-two million, seven hundred thousand".