105350353540 has 48 divisors (see below), whose sum is σ = 234415302912. Its totient is φ = 39633255936.

The previous prime is 105350353529. The next prime is 105350353553. The reversal of 105350353540 is 45353053501.

It is a super-2 number, since 2×105350353540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 105350353496 and 105350353505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374947 + ... + 592693.

It is an arithmetic number, because the mean of its divisors is an integer number (4883652144).

Almost surely, 2^105350353540 is an apocalyptic number.

105350353540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105350353540 is an abundant number, since it is smaller than the sum of its proper divisors (129064949372).

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

105350353540 is a wasteful number, since it uses less digits than its factorization.

105350353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219196 (or 219194 counting only the distinct ones).

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

The spelling of 105350353540 in words is "one hundred five billion, three hundred fifty million, three hundred fifty-three thousand, five hundred forty".