105341461336 has 128 divisors (see below), whose sum is σ = 216732672000. Its totient is φ = 47870323200.

The previous prime is 105341461331. The next prime is 105341461343. The reversal of 105341461336 is 633164143501.

It is a super-2 number, since 2×105341461336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105341461295 and 105341461304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341461331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60505426 + ... + 60507166.

It is an arithmetic number, because the mean of its divisors is an integer number (1693224000).

Almost surely, 2^105341461336 is an apocalyptic number.

It is an amenable number.

105341461336 is an abundant number, since it is smaller than the sum of its proper divisors (111391210664).

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

105341461336 is a wasteful number, since it uses less digits than its factorization.

105341461336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 105341461336 in words is "one hundred five billion, three hundred forty-one million, four hundred sixty-one thousand, three hundred thirty-six".