105264823104 has 224 divisors, whose sum is σ = 360887264000. Its totient is φ = 30075494400.

The previous prime is 105264823049. The next prime is 105264823117. The reversal of 105264823104 is 401328462501.

It is a happy number.

105264823104 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 648 + 2 + 3 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105264823104² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503904 + ... + 681504.

Almost surely, 2^105264823104 is an apocalyptic number.

105264823104 is a gapful number since it is divisible by the number (14) 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 105264823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180443632000).

105264823104 is an abundant number, since it is smaller than the sum of its proper divisors (255622440896).

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

105264823104 is an equidigital number, since it uses as much as digits as its factorization.

105264823104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177643 (or 177613 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 105264823104 in words is "one hundred five billion, two hundred sixty-four million, eight hundred twenty-three thousand, one hundred four".