104920928997300 has 216 divisors, whose sum is σ = 354547695542040. Its totient is φ = 25798887014400.

The previous prime is 104920928997271. The next prime is 104920928997301. The reversal of 104920928997300 is 3799829029401.

104920928997300 is a `hidden beast` number, since 1 + 0 + 49 + 2 + 0 + 9 + 289 + 9 + 7 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 82036530989604 + 22884398007696 = 9057402^2 + 4783764^2 .

It is a super-2 number, since 2×104920928997300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104920928997301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6042820 + ... + 15695780.

Almost surely, 2^{104920928997300} is an apocalyptic number.

104920928997300 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 104920928997300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177273847771020).

104920928997300 is an abundant number, since it is smaller than the sum of its proper divisors (249626766544740).

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

104920928997300 is a wasteful number, since it uses less digits than its factorization.

104920928997300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653923 (or 9653913 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 104920928997300 in words is "one hundred four trillion, nine hundred twenty billion, nine hundred twenty-eight million, nine hundred ninety-seven thousand, three hundred".