103465252800 has 1680 divisors, whose sum is σ = 484883187712. Its totient is φ = 21051187200.

The previous prime is 103465252741. The next prime is 103465252861. The reversal of 103465252800 is 8252564301.

103465252800 is a `hidden beast` number, since 10 + 3 + 46 + 525 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 365601459 + ... + 365601741.

Almost surely, 2^103465252800 is an apocalyptic number.

103465252800 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 103465252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242441593856).

103465252800 is an abundant number, since it is smaller than the sum of its proper divisors (381417934912).

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

103465252800 is a wasteful number, since it uses less digits than its factorization.

103465252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 103465252800 in words is "one hundred three billion, four hundred sixty-five million, two hundred fifty-two thousand, eight hundred".