105391403712 has 336 divisors, whose sum is σ = 381447885312. Its totient is φ = 27107942400.

The previous prime is 105391403687. The next prime is 105391403743. The reversal of 105391403712 is 217304193501.

105391403712 is a `hidden beast` number, since 10 + 539 + 1 + 40 + 3 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105391403712² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 1543087 + ... + 1609937.

Almost surely, 2^105391403712 is an apocalyptic number.

105391403712 is a gapful number since it is divisible by the number (12) 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 105391403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190723942656).

105391403712 is an abundant number, since it is smaller than the sum of its proper divisors (276056481600).

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

105391403712 is a wasteful number, since it uses less digits than its factorization.

105391403712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66916 (or 66903 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 105391403712 in words is "one hundred five billion, three hundred ninety-one million, four hundred three thousand, seven hundred twelve".