104742612263880 has 192 divisors, whose sum is σ = 358667107344000. Its totient is φ = 26436396653568.

The previous prime is 104742612263879. The next prime is 104742612263909. The reversal of 104742612263880 is 88362216247401.

104742612263880 is a `hidden beast` number, since 1 + 0 + 47 + 4 + 261 + 2 + 263 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68076 + ... + 14473764.

It is an arithmetic number, because the mean of its divisors is an integer number (1868057850750).

Almost surely, 2^{104742612263880} is an apocalyptic number.

104742612263880 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 104742612263880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179333553672000).

104742612263880 is an abundant number, since it is smaller than the sum of its proper divisors (253924495080120).

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

104742612263880 is a wasteful number, since it uses less digits than its factorization.

104742612263880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14406788 (or 14406781 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 104742612263880 in words is "one hundred four trillion, seven hundred forty-two billion, six hundred twelve million, two hundred sixty-three thousand, eight hundred eighty".