104892226560 has 440 divisors, whose sum is σ = 410062671216. Its totient is φ = 25427312640.

The previous prime is 104892226559. The next prime is 104892226561. The reversal of 104892226560 is 65622298401.

104892226560 is a `hidden beast` number, since 1 + 0 + 4 + 89 + 2 + 2 + 2 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (104892226559) and next prime (104892226561).

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×104892226560² (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 not an unprimeable number, because it can be changed into a prime (104892226561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4550424 + ... + 4573416.

Almost surely, 2^104892226560 is an apocalyptic number.

104892226560 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 104892226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205031335608).

104892226560 is an abundant number, since it is smaller than the sum of its proper divisors (305170444656).

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

104892226560 is a wasteful number, since it uses less digits than its factorization.

104892226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23041 (or 23014 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 104892226560 in words is "one hundred four billion, eight hundred ninety-two million, two hundred twenty-six thousand, five hundred sixty".