105231420 has 288 divisors, whose sum is σ = 394148160. Its totient is φ = 23224320.

The previous prime is 105231419. The next prime is 105231433. The reversal of 105231420 is 24132501.

105231420 is a `hidden beast` number, since 1 + 0 + 523 + 142 + 0 = 666.

It is a super-2 number, since 2×105231420² = 22147303510432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105231393 and 105231402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1084812 + ... + 1084908.

It is an arithmetic number, because the mean of its divisors is an integer number (1368570).

Almost surely, 2^105231420 is an apocalyptic number.

105231420 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 105231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197074080).

105231420 is an abundant number, since it is smaller than the sum of its proper divisors (288916740).

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

105231420 is a wasteful number, since it uses less digits than its factorization.

105231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105231420 is about 10258.2366905819. The cubic root of 105231420 is about 472.1157369636.

Adding to 105231420 its reverse (24132501), we get a palindrome (129363921).

The spelling of 105231420 in words is "one hundred five million, two hundred thirty-one thousand, four hundred twenty".