105000233000 has 64 divisors (see below), whose sum is σ = 264600619920. Its totient is φ = 38769312000.

The previous prime is 105000232957. The next prime is 105000233003. The reversal of 105000233000 is 332000501.

It can be written as a sum of positive squares in 8 ways, for example, as 15806021284 + 89194211716 = 125722^2 + 298654^2 .

It is a super-2 number, since 2×105000233000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000233003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025471 + ... + 4051470.

Almost surely, 2^105000233000 is an apocalyptic number.

105000233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000233000 is an abundant number, since it is smaller than the sum of its proper divisors (159600386920).

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

105000233000 is a wasteful number, since it uses less digits than its factorization.

105000233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076975 (or 8076961 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

Adding to 105000233000 its reverse (332000501), we get a palindrome (105332233501).

The spelling of 105000233000 in words is "one hundred five billion, two hundred thirty-three thousand".