104279509401600 has 384 divisors, whose sum is σ = 371336454352080. Its totient is φ = 25668794449920.

The previous prime is 104279509401589. The next prime is 104279509401601. The reversal of 104279509401600 is 6104905972401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 104279509401600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104279509401601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30316822 + ... + 33580778.

Almost surely, 2^{104279509401600} is an apocalyptic number.

104279509401600 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 104279509401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185668227176040).

104279509401600 is an abundant number, since it is smaller than the sum of its proper divisors (267056944950480).

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

104279509401600 is an equidigital number, since it uses as much as digits as its factorization.

104279509401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264013 (or 3263980 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 104279509401600 in words is "one hundred four trillion, two hundred seventy-nine billion, five hundred nine million, four hundred one thousand, six hundred".