105276114100 has 36 divisors (see below), whose sum is σ = 234021107628. Its totient is φ = 41083360000.

The previous prime is 105276114091. The next prime is 105276114107. The reversal of 105276114100 is 1411672501.

It can be written as a sum of positive squares in 6 ways, for example, as 43880194576 + 61395919524 = 209476^2 + 247782^2 .

It is a super-2 number, since 2×105276114100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105276114107) 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, 12834451 + ... + 12842650.

It is an arithmetic number, because the mean of its divisors is an integer number (6500586323).

Almost surely, 2^105276114100 is an apocalyptic number.

105276114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105276114100 is an abundant number, since it is smaller than the sum of its proper divisors (128744993528).

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

105276114100 is a wasteful number, since it uses less digits than its factorization.

105276114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25677156 (or 25677149 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 105276114100 its reverse (1411672501), we get a palindrome (106687786601).

The spelling of 105276114100 in words is "one hundred five billion, two hundred seventy-six million, one hundred fourteen thousand, one hundred".