104995121400 has 384 divisors, whose sum is σ = 402040934400. Its totient is φ = 25010726400.

The previous prime is 104995121393. The next prime is 104995121401. The reversal of 104995121400 is 4121599401.

It is a happy number.

104995121400 is a `hidden beast` number, since 1 + 0 + 49 + 95 + 121 + 400 = 666.

It is a super-2 number, since 2×104995121400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104995121401) 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 95 ways as a sum of consecutive naturals, for example, 2152077 + ... + 2200323.

It is an arithmetic number, because the mean of its divisors is an integer number (1046981600).

Almost surely, 2^104995121400 is an apocalyptic number.

104995121400 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 104995121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201020467200).

104995121400 is an abundant number, since it is smaller than the sum of its proper divisors (297045813000).

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

104995121400 is a wasteful number, since it uses less digits than its factorization.

104995121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48316 (or 48301 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 104995121400 in words is "one hundred four billion, nine hundred ninety-five million, one hundred twenty-one thousand, four hundred".