105007233268 has 48 divisors (see below), whose sum is σ = 212054169600. Its totient is φ = 44567824896.

The previous prime is 105007233257. The next prime is 105007233281. The reversal of 105007233268 is 862332700501.

It is a super-2 number, since 2×105007233268² (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 15 ways as a sum of consecutive naturals, for example, 1368621 + ... + 1443307.

It is an arithmetic number, because the mean of its divisors is an integer number (4417795200).

Almost surely, 2^105007233268 is an apocalyptic number.

It is an amenable number.

105007233268 is an abundant number, since it is smaller than the sum of its proper divisors (107046936332).

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

105007233268 is a wasteful number, since it uses less digits than its factorization.

105007233268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75184 (or 75182 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 105007233268 its reverse (862332700501), we get a palindrome (967339933769).

The spelling of 105007233268 in words is "one hundred five billion, seven million, two hundred thirty-three thousand, two hundred sixty-eight".