104354254400 has 168 divisors, whose sum is σ = 280357234560. Its totient is φ = 37914880000.

The previous prime is 104354254399. The next prime is 104354254427. The reversal of 104354254400 is 4452453401.

It is a super-2 number, since 2×104354254400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 33456041 + ... + 33459159.

Almost surely, 2^104354254400 is an apocalyptic number.

104354254400 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 104354254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140178617280).

104354254400 is an abundant number, since it is smaller than the sum of its proper divisors (176002980160).

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

104354254400 is a wasteful number, since it uses less digits than its factorization.

104354254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 104354254400 in words is "one hundred four billion, three hundred fifty-four million, two hundred fifty-four thousand, four hundred".