105410325540 has 48 divisors (see below), whose sum is σ = 317852676288. Its totient is φ = 25947156864.

The previous prime is 105410325499. The next prime is 105410325593. The reversal of 105410325540 is 45523014501.

It is a super-2 number, since 2×105410325540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105410325498 and 105410325507.

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, 67569942 + ... + 67571501.

It is an arithmetic number, because the mean of its divisors is an integer number (6621930756).

Almost surely, 2^105410325540 is an apocalyptic number.

105410325540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105410325540 is an abundant number, since it is smaller than the sum of its proper divisors (212442350748).

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

105410325540 is a wasteful number, since it uses less digits than its factorization.

105410325540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135141468 (or 135141466 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 105410325540 in words is "one hundred five billion, four hundred ten million, three hundred twenty-five thousand, five hundred forty".