105234813040 has 160 divisors (see below), whose sum is σ = 296576446464. Its totient is φ = 33900318720.

The previous prime is 105234813001. The next prime is 105234813043. The reversal of 105234813040 is 40318432501.

It is a super-2 number, since 2×105234813040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105234812993 and 105234813011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105234813043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5769535 + ... + 5787745.

Almost surely, 2^105234813040 is an apocalyptic number.

105234813040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105234813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148288223232).

105234813040 is an abundant number, since it is smaller than the sum of its proper divisors (191341633424).

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

105234813040 is a wasteful number, since it uses less digits than its factorization.

105234813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18855 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 105234813040 in words is "one hundred five billion, two hundred thirty-four million, eight hundred thirteen thousand, forty".