104361264530400 has 288 divisors, whose sum is σ = 341126458259328. Its totient is φ = 27712523520000.

The previous prime is 104361264530351. The next prime is 104361264530449. The reversal of 104361264530400 is 4035462163401.

It is an interprime number because it is at equal distance from previous prime (104361264530351) and next prime (104361264530449).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3058367739 + ... + 3058401861.

It is an arithmetic number, because the mean of its divisors is an integer number (1184466868956).

Almost surely, 2^{104361264530400} is an apocalyptic number.

104361264530400 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 104361264530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170563229129664).

104361264530400 is an abundant number, since it is smaller than the sum of its proper divisors (236765193728928).

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

104361264530400 is a wasteful number, since it uses less digits than its factorization.

104361264530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39474 (or 39461 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 104361264530400 in words is "one hundred four trillion, three hundred sixty-one billion, two hundred sixty-four million, five hundred thirty thousand, four hundred".