104024011301100 has 720 divisors, whose sum is σ = 389840043390336. Its totient is φ = 23713724160000.

The previous prime is 104024011301099. The next prime is 104024011301107. The reversal of 104024011301100 is 1103110420401.

104024011301100 is a `hidden beast` number, since 1 + 0 + 402 + 40 + 113 + 0 + 110 + 0 = 666.

It is a super-2 number, since 2×104024011301100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104024011301107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1761566575 + ... + 1761625625.

Almost surely, 2^{104024011301100} is an apocalyptic number.

104024011301100 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 104024011301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194920021695168).

104024011301100 is an abundant number, since it is smaller than the sum of its proper divisors (285816032089236).

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

104024011301100 is a wasteful number, since it uses less digits than its factorization.

104024011301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60268 (or 60252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104024011301100 its reverse (1103110420401), we get a palindrome (105127121721501).

The spelling of 104024011301100 in words is "one hundred four trillion, twenty-four billion, eleven million, three hundred one thousand, one hundred".