103825948262400 has 2520 divisors, whose sum is σ = 475255599340704. Its totient is φ = 21900401049600.

The previous prime is 103825948262359. The next prime is 103825948262417. The reversal of 103825948262400 is 4262849528301.

103825948262400 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 2 + 5 + 9 + 4 + 8 + 2 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27172452490 + ... + 27172456310.

Almost surely, 2^{103825948262400} is an apocalyptic number.

103825948262400 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 103825948262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237627799670352).

103825948262400 is an abundant number, since it is smaller than the sum of its proper divisors (371429651078304).

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

103825948262400 is an frugal number, since it uses more digits than its factorization.

103825948262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 103825948262400 in words is "one hundred three trillion, eight hundred twenty-five billion, nine hundred forty-eight million, two hundred sixty-two thousand, four hundred".