105727361400000 has 672 divisors, whose sum is σ = 405390438351360. Its totient is φ = 26968106880000.

The previous prime is 105727361399909. The next prime is 105727361400091. The reversal of 105727361400000 is 4163727501.

It is a happy number.

105727361400000 is a `hidden beast` number, since 1 + 0 + 572 + 73 + 6 + 14 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105727361399909) and next prime (105727361400091).

It is a super-2 number, since 2×105727361400000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123774367 + ... + 124625633.

It is an arithmetic number, because the mean of its divisors is an integer number (603259580880).

Almost surely, 2^{105727361400000} is an apocalyptic number.

105727361400000 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 105727361400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202695219175680).

105727361400000 is an abundant number, since it is smaller than the sum of its proper divisors (299663076951360).

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

105727361400000 is an frugal number, since it uses more digits than its factorization.

105727361400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851336 (or 851300 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 105727361400000 in words is "one hundred five trillion, seven hundred twenty-seven billion, three hundred sixty-one million, four hundred thousand".