105341461340 has 48 divisors (see below), whose sum is σ = 221928698880. Its totient is φ = 42001175040.

The previous prime is 105341461331. The next prime is 105341461343. The reversal of 105341461340 is 43164143501.

It is a happy number.

It is a super-2 number, since 2×105341461340² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105341461297 and 105341461306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341461343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17469446 + ... + 17475474.

It is an arithmetic number, because the mean of its divisors is an integer number (4623514560).

Almost surely, 2^105341461340 is an apocalyptic number.

105341461340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105341461340 is an abundant number, since it is smaller than the sum of its proper divisors (116587237540).

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

105341461340 is a wasteful number, since it uses less digits than its factorization.

105341461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 105341461340 in words is "one hundred five billion, three hundred forty-one million, four hundred sixty-one thousand, three hundred forty".