105460341000 has 256 divisors, whose sum is σ = 377715087360. Its totient is φ = 23997945600.

The previous prime is 105460340983. The next prime is 105460341011. The reversal of 105460341000 is 143064501.

It is a super-2 number, since 2×105460341000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4755939 + ... + 4778061.

It is an arithmetic number, because the mean of its divisors is an integer number (1475449560).

Almost surely, 2^105460341000 is an apocalyptic number.

105460341000 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 105460341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188857543680).

105460341000 is an abundant number, since it is smaller than the sum of its proper divisors (272254746360).

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

105460341000 is a wasteful number, since it uses less digits than its factorization.

105460341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22381 (or 22367 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 105460341000 in words is "one hundred five billion, four hundred sixty million, three hundred forty-one thousand".