254402145204100 has 36 divisors (see below), whose sum is σ = 557117358374500. Its totient is φ = 100827272223360.

The previous prime is 254402145204083. The next prime is 254402145204121. The reversal of 254402145204100 is 1402541204452.

It can be written as a sum of positive squares in 6 ways, for example, as 6336054191104 + 248066091012996 = 2517152^2 + 15750114^2 .

It is a super-3 number, since 3×254402145204100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11669812275 + ... + 11669834074.

Almost surely, 2^{254402145204100} is an apocalyptic number.

254402145204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254402145204100 is an abundant number, since it is smaller than the sum of its proper divisors (302715213170400).

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

254402145204100 is a wasteful number, since it uses less digits than its factorization.

254402145204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23339646472 (or 23339646465 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 254402145204100 its reverse (1402541204452), we get a palindrome (255804686408552).

The spelling of 254402145204100 in words is "two hundred fifty-four trillion, four hundred two billion, one hundred forty-five million, two hundred four thousand, one hundred".