104968281600 has 2880 divisors, whose sum is σ = 531925954560. Its totient is φ = 19110297600.

The previous prime is 104968281577. The next prime is 104968281623. The reversal of 104968281600 is 6182869401.

104968281600 is a `hidden beast` number, since 1 + 0 + 496 + 82 + 81 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104968281577) and next prime (104968281623).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×104968281600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3386073585 + ... + 3386073615.

It is an arithmetic number, because the mean of its divisors is an integer number (184696512).

Almost surely, 2^104968281600 is an apocalyptic number.

104968281600 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 104968281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265962977280).

104968281600 is an abundant number, since it is smaller than the sum of its proper divisors (426957672960).

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

104968281600 is a wasteful number, since it uses less digits than its factorization.

104968281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 104968281600 in words is "one hundred four billion, nine hundred sixty-eight million, two hundred eighty-one thousand, six hundred".