105424264600 has 96 divisors (see below), whose sum is σ = 249206706000. Its totient is φ = 41470784000.

The previous prime is 105424264597. The next prime is 105424264643. The reversal of 105424264600 is 6462424501.

It is a super-2 number, since 2×105424264600² (a number of 23 digits) contains 22 as substring.

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, 2992287 + ... + 3027313.

Almost surely, 2^105424264600 is an apocalyptic number.

105424264600 is a gapful number since it is divisible by the number (10) 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 105424264600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124603353000).

105424264600 is an abundant number, since it is smaller than the sum of its proper divisors (143782441400).

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

105424264600 is a wasteful number, since it uses less digits than its factorization.

105424264600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35293 (or 35284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 105424264600 in words is "one hundred five billion, four hundred twenty-four million, two hundred sixty-four thousand, six hundred".