105412342464 has 1008 divisors, whose sum is σ = 385622881280. Its totient is φ = 28329523200.

The previous prime is 105412342447. The next prime is 105412342481. The reversal of 105412342464 is 464243214501.

105412342464 is a `hidden beast` number, since 1 + 0 + 54 + 123 + 424 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (105412342447) and next prime (105412342481).

It is a super-2 number, since 2×105412342464² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 758362107 + ... + 758362245.

Almost surely, 2^105412342464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105412342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192811440640).

105412342464 is an abundant number, since it is smaller than the sum of its proper divisors (280210538816).

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

105412342464 is a wasteful number, since it uses less digits than its factorization.

105412342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 105412342464 its reverse (464243214501), we get a palindrome (569655556965).

The spelling of 105412342464 in words is "one hundred five billion, four hundred twelve million, three hundred forty-two thousand, four hundred sixty-four".