104746242104000 has 224 divisors, whose sum is σ = 296475517613184. Its totient is φ = 35911334707200.

The previous prime is 104746242103949. The next prime is 104746242104017. The reversal of 104746242104000 is 401242647401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2310369332 + ... + 2310414668.

It is an arithmetic number, because the mean of its divisors is an integer number (1323551417916).

Almost surely, 2^{104746242104000} is an apocalyptic number.

104746242104000 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 104746242104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148237758806592).

104746242104000 is an abundant number, since it is smaller than the sum of its proper divisors (191729275509184).

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

104746242104000 is an equidigital number, since it uses as much as digits as its factorization.

104746242104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86628 (or 86608 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 104746242104000 in words is "one hundred four trillion, seven hundred forty-six billion, two hundred forty-two million, one hundred four thousand".