105233323014100 has 36 divisors (see below), whose sum is σ = 228510501884028. Its totient is φ = 42064906912000.

The previous prime is 105233323014077. The next prime is 105233323014107. The reversal of 105233323014100 is 1410323332501.

It can be written as a sum of positive squares in 6 ways, for example, as 8165980633924 + 97067342380176 = 2857618^2 + 9852276^2 .

It is a super-2 number, since 2×105233323014100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105233323014107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355129831 + ... + 355426030.

It is an arithmetic number, because the mean of its divisors is an integer number (6347513941223).

Almost surely, 2^{105233323014100} is an apocalyptic number.

105233323014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105233323014100 is an abundant number, since it is smaller than the sum of its proper divisors (123277178869928).

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

105233323014100 is a wasteful number, since it uses less digits than its factorization.

105233323014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710557356 (or 710557349 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 105233323014100 its reverse (1410323332501), we get a palindrome (106643646346601).

The spelling of 105233323014100 in words is "one hundred five trillion, two hundred thirty-three billion, three hundred twenty-three million, fourteen thousand, one hundred".