104761457049600 has 2448 divisors, whose sum is σ = 424367863673760. Its totient is φ = 25638375260160.

The previous prime is 104761457049569. The next prime is 104761457049619. The reversal of 104761457049600 is 6940754167401.

It is a happy number.

104761457049600 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 6 + 1 + 4 + 570 + 4 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 605557555114 + ... + 605557555286.

Almost surely, 2^{104761457049600} is an apocalyptic number.

104761457049600 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 104761457049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212183931836880).

104761457049600 is an abundant number, since it is smaller than the sum of its proper divisors (319606406624160).

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

104761457049600 is an frugal number, since it uses more digits than its factorization.

104761457049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 104761457049600 in words is "one hundred four trillion, seven hundred sixty-one billion, four hundred fifty-seven million, forty-nine thousand, six hundred".