105313143600 has 480 divisors, whose sum is σ = 453589539840. Its totient is φ = 22655324160.

The previous prime is 105313143599. The next prime is 105313143631. The reversal of 105313143600 is 6341313501.

105313143600 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 13 + 1 + 43 + 600 = 666.

It is a super-2 number, since 2×105313143600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244229 + ... + 1326171.

It is an arithmetic number, because the mean of its divisors is an integer number (944978208).

Almost surely, 2^105313143600 is an apocalyptic number.

105313143600 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 105313143600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226794769920).

105313143600 is an abundant number, since it is smaller than the sum of its proper divisors (348276396240).

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

105313143600 is a wasteful number, since it uses less digits than its factorization.

105313143600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81994 (or 81977 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 105313143600 in words is "one hundred five billion, three hundred thirteen million, one hundred forty-three thousand, six hundred".