105313143100 has 72 divisors (see below), whose sum is σ = 251725638528. Its totient is φ = 37923844800.

The previous prime is 105313143083. The next prime is 105313143121. The reversal of 105313143100 is 1341313501.

It is a super-2 number, since 2×105313143100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 351454 + ... + 578053.

It is an arithmetic number, because the mean of its divisors is an integer number (3496189424).

Almost surely, 2^105313143100 is an apocalyptic number.

105313143100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105313143100 is an abundant number, since it is smaller than the sum of its proper divisors (146412495428).

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

105313143100 is a wasteful number, since it uses less digits than its factorization.

105313143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929635 (or 929628 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 105313143100 its reverse (1341313501), we get a palindrome (106654456601).

The spelling of 105313143100 in words is "one hundred five billion, three hundred thirteen million, one hundred forty-three thousand, one hundred".