105350533540 has 96 divisors (see below), whose sum is σ = 266799536640. Its totient is φ = 34161447936.

The previous prime is 105350533531. The next prime is 105350533543. The reversal of 105350533540 is 45335053501.

It is a super-2 number, since 2×105350533540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105350533496 and 105350533505.

It is not an unprimeable number, because it can be changed into a prime (105350533543) 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, 102774 + ... + 470386.

It is an arithmetic number, because the mean of its divisors is an integer number (2779161840).

Almost surely, 2^105350533540 is an apocalyptic number.

105350533540 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 105350533540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133399768320).

105350533540 is an abundant number, since it is smaller than the sum of its proper divisors (161449003100).

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

105350533540 is a wasteful number, since it uses less digits than its factorization.

105350533540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367741 (or 367739 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 34.

The spelling of 105350533540 in words is "one hundred five billion, three hundred fifty million, five hundred thirty-three thousand, five hundred forty".