105468238350 has 96 divisors (see below), whose sum is σ = 291462416640. Its totient is φ = 28043687520.

The previous prime is 105468238349. The next prime is 105468238367. The reversal of 105468238350 is 53832864501.

105468238350 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 68 + 238 + 350 = 666.

It is a super-2 number, since 2×105468238350² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 105468238296 and 105468238305.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 355879 + ... + 581021.

It is an arithmetic number, because the mean of its divisors is an integer number (3036066840).

Almost surely, 2^105468238350 is an apocalyptic number.

105468238350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105468238350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145731208320).

105468238350 is an abundant number, since it is smaller than the sum of its proper divisors (185994178290).

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

105468238350 is a wasteful number, since it uses less digits than its factorization.

105468238350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225511 (or 225500 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 105468238350 in words is "one hundred five billion, four hundred sixty-eight million, two hundred thirty-eight thousand, three hundred fifty".