10154204400 has 120 divisors (see below), whose sum is σ = 32554436224. Its totient is φ = 2705529600.

The previous prime is 10154204399. The next prime is 10154204453. The reversal of 10154204400 is 440245101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834437 + ... + 1839963.

Almost surely, 2^10154204400 is an apocalyptic number.

10154204400 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 10154204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277218112).

10154204400 is an abundant number, since it is smaller than the sum of its proper divisors (22400231824).

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

10154204400 is a wasteful number, since it uses less digits than its factorization.

10154204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10154204400 its reverse (440245101), we get a palindrome (10594449501).

The spelling of 10154204400 in words is "ten billion, one hundred fifty-four million, two hundred four thousand, four hundred".