104949205000 has 160 divisors (see below), whose sum is σ = 253239406200. Its totient is φ = 40732416000.

The previous prime is 104949204979. The next prime is 104949205001. The reversal of 104949205000 is 502949401.

It can be written as a sum of positive squares in 20 ways, for example, as 18326119876 + 86623085124 = 135374^2 + 294318^2 .

It is a super-2 number, since 2×104949205000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104949205001) 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 39 ways as a sum of consecutive naturals, for example, 105264502 + ... + 105265498.

Almost surely, 2^104949205000 is an apocalyptic number.

104949205000 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 104949205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126619703100).

104949205000 is an abundant number, since it is smaller than the sum of its proper divisors (148290201200).

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

104949205000 is an equidigital number, since it uses as much as digits as its factorization.

104949205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 104949205000 in words is "one hundred four billion, nine hundred forty-nine million, two hundred five thousand".