105523464606 has 192 divisors, whose sum is σ = 262538330112. Its totient is φ = 28127107008.

The previous prime is 105523464587. The next prime is 105523464617. The reversal of 105523464606 is 606464325501.

It is a super-2 number, since 2×105523464606² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173843955 + ... + 173844561.

It is an arithmetic number, because the mean of its divisors is an integer number (1367387136).

Almost surely, 2^105523464606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105523464606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131269165056).

105523464606 is an abundant number, since it is smaller than the sum of its proper divisors (157014865506).

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

105523464606 is a wasteful number, since it uses less digits than its factorization.

105523464606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 105523464606 in words is "one hundred five billion, five hundred twenty-three million, four hundred sixty-four thousand, six hundred six".