103859727206400 has 1872 divisors, whose sum is σ = 422592838733520. Its totient is φ = 25105556275200.

The previous prime is 103859727206377. The next prime is 103859727206413. The reversal of 103859727206400 is 4602727958301.

It is a happy number.

103859727206400 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 9 + 7 + 27 + 206 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 155 ways as a sum of consecutive naturals, for example, 299307571027 + ... + 299307571373.

It is an arithmetic number, because the mean of its divisors is an integer number (225744037785).

It is a 1-persistent number, because it is pandigital, but 2⋅103859727206400 = 207719454412800 is not.

Almost surely, 2^{103859727206400} is an apocalyptic number.

103859727206400 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 103859727206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211296419366760).

103859727206400 is an abundant number, since it is smaller than the sum of its proper divisors (318733111527120).

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

103859727206400 is an frugal number, since it uses more digits than its factorization.

103859727206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 103859727206400 in words is "one hundred three trillion, eight hundred fifty-nine billion, seven hundred twenty-seven million, two hundred six thousand, four hundred".