105233210040 has 128 divisors (see below), whose sum is σ = 361017077760. Its totient is φ = 24038805504.

The previous prime is 105233210029. The next prime is 105233210087. The reversal of 105233210040 is 40012332501.

It is a super-2 number, since 2×105233210040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105233209989 and 105233210016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388569 + ... + 1462391.

It is an arithmetic number, because the mean of its divisors is an integer number (2820445920).

Almost surely, 2^105233210040 is an apocalyptic number.

105233210040 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 105233210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180508538880).

105233210040 is an abundant number, since it is smaller than the sum of its proper divisors (255783867720).

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

105233210040 is a wasteful number, since it uses less digits than its factorization.

105233210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75541 (or 75537 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 105233210040 its reverse (40012332501), we get a palindrome (145245542541).

The spelling of 105233210040 in words is "one hundred five billion, two hundred thirty-three million, two hundred ten thousand, forty".