105463260100 has 72 divisors (see below), whose sum is σ = 262800367200. Its totient is φ = 36331833600.

The previous prime is 105463260041. The next prime is 105463260121. The reversal of 105463260100 is 1062364501.

It is a super-2 number, since 2×105463260100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502145 + ... + 2543944.

It is an arithmetic number, because the mean of its divisors is an integer number (3650005100).

Almost surely, 2^105463260100 is an apocalyptic number.

105463260100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105463260100 is an abundant number, since it is smaller than the sum of its proper divisors (157337107100).

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

105463260100 is a wasteful number, since it uses less digits than its factorization.

105463260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046133 (or 5046126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

It can be divided in two parts, 105463 and 260100, that added together give a palindrome (365563).

The spelling of 105463260100 in words is "one hundred five billion, four hundred sixty-three million, two hundred sixty thousand, one hundred".