105233315010 has 64 divisors (see below), whose sum is σ = 257537629440. Its totient is φ = 27514540800.

The previous prime is 105233315009. The next prime is 105233315027. The reversal of 105233315010 is 10513332501.

It is a super-2 number, since 2×105233315010² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143496 + ... + 480684.

It is an arithmetic number, because the mean of its divisors is an integer number (4024025460).

Almost surely, 2^105233315010 is an apocalyptic number.

105233315010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105233315010 is an abundant number, since it is smaller than the sum of its proper divisors (152304314430).

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

105233315010 is a wasteful number, since it uses less digits than its factorization.

105233315010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337403.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 105233315010 its reverse (10513332501), we get a palindrome (115746647511).

The spelling of 105233315010 in words is "one hundred five billion, two hundred thirty-three million, three hundred fifteen thousand, ten".