104292006300 has 288 divisors, whose sum is σ = 357817098240. Its totient is φ = 25967692800.

The previous prime is 104292006293. The next prime is 104292006307. The reversal of 104292006300 is 3600292401.

104292006300 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 9 + 20 + 0 + 630 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104292006293) and next prime (104292006307).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104292006307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5820355 + ... + 5838245.

It is an arithmetic number, because the mean of its divisors is an integer number (1242420480).

Almost surely, 2^104292006300 is an apocalyptic number.

104292006300 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 104292006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178908549120).

104292006300 is an abundant number, since it is smaller than the sum of its proper divisors (253525091940).

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

104292006300 is a wasteful number, since it uses less digits than its factorization.

104292006300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18058 (or 18045 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 104292006300 its reverse (3600292401), we get a palindrome (107892298701).

The spelling of 104292006300 in words is "one hundred four billion, two hundred ninety-two million, six thousand, three hundred".