105562023264 has 144 divisors (see below), whose sum is σ = 306202779792. Its totient is φ = 34484296704.

The previous prime is 105562023199. The next prime is 105562023283. The reversal of 105562023264 is 462320265501.

105562023264 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 620 + 2 + 3 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105562023264² (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 23 ways as a sum of consecutive naturals, for example, 15459019 + ... + 15465845.

It is an arithmetic number, because the mean of its divisors is an integer number (2126408193).

Almost surely, 2^105562023264 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 105562023264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153101389896).

105562023264 is an abundant number, since it is smaller than the sum of its proper divisors (200640756528).

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

105562023264 is a wasteful number, since it uses less digits than its factorization.

105562023264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 105562023264 its reverse (462320265501), we get a palindrome (567882288765).

The spelling of 105562023264 in words is "one hundred five billion, five hundred sixty-two million, twenty-three thousand, two hundred sixty-four".