104856658400 has 144 divisors (see below), whose sum is σ = 277308032400. Its totient is φ = 38715655680.

The previous prime is 104856658399. The next prime is 104856658409. The reversal of 104856658400 is 4856658401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104856658409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727771 + ... + 1787429.

It is an arithmetic number, because the mean of its divisors is an integer number (1925750225).

Almost surely, 2^104856658400 is an apocalyptic number.

104856658400 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 104856658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138654016200).

104856658400 is an abundant number, since it is smaller than the sum of its proper divisors (172451374000).

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

104856658400 is an equidigital number, since it uses as much as digits as its factorization.

104856658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59718 (or 59679 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

Subtracting from 104856658400 its reverse (4856658401), we obtain a palindrome (99999999999).

The spelling of 104856658400 in words is "one hundred four billion, eight hundred fifty-six million, six hundred fifty-eight thousand, four hundred".