104235125501100 has 288 divisors, whose sum is σ = 347031188582400. Its totient is φ = 23890004179200.

The previous prime is 104235125501099. The next prime is 104235125501147. The reversal of 104235125501100 is 1105521532401.

It is a super-2 number, since 2×104235125501100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28828081 + ... + 32241719.

It is an arithmetic number, because the mean of its divisors is an integer number (1204969404800).

Almost surely, 2^{104235125501100} is an apocalyptic number.

104235125501100 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 104235125501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173515594291200).

104235125501100 is an abundant number, since it is smaller than the sum of its proper divisors (242796063081300).

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

104235125501100 is a wasteful number, since it uses less digits than its factorization.

104235125501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414173 (or 3414166 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 104235125501100 in words is "one hundred four trillion, two hundred thirty-five billion, one hundred twenty-five million, five hundred one thousand, one hundred".