105839496806400 has 1080 divisors, whose sum is σ = 449341064011840. Its totient is φ = 24191725731840.

The previous prime is 105839496806399. The next prime is 105839496806441. The reversal of 105839496806400 is 4608694938501.

105839496806400 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 3 + 9 + 496 + 80 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×105839496806400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 696653646 + ... + 696805554.

Almost surely, 2^{105839496806400} is an apocalyptic number.

105839496806400 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 105839496806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224670532005920).

105839496806400 is an abundant number, since it is smaller than the sum of its proper divisors (343501567205440).

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

105839496806400 is an frugal number, since it uses more digits than its factorization.

105839496806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151969 (or 151926 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 105839496806400 in words is "one hundred five trillion, eight hundred thirty-nine billion, four hundred ninety-six million, eight hundred six thousand, four hundred".