105546461340 has 192 divisors, whose sum is σ = 311951969280. Its totient is φ = 26611875840.

The previous prime is 105546461323. The next prime is 105546461359. The reversal of 105546461340 is 43164645501.

105546461340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105546461340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49296670 + ... + 49298810.

It is an arithmetic number, because the mean of its divisors is an integer number (1624749840).

Almost surely, 2^105546461340 is an apocalyptic number.

105546461340 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 105546461340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155975984640).

105546461340 is an abundant number, since it is smaller than the sum of its proper divisors (206405507940).

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

105546461340 is a wasteful number, since it uses less digits than its factorization.

105546461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 105546461340 in words is "one hundred five billion, five hundred forty-six million, four hundred sixty-one thousand, three hundred forty".