105418530 has 192 divisors, whose sum is σ = 343054080. Its totient is φ = 22560768.

The previous prime is 105418529. The next prime is 105418531. The reversal of 105418530 is 35814501.

105418530 is a `hidden beast` number, since 10 + 541 + 85 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (105418529) and next prime (105418531).

It is a super-2 number, since 2×105418530² = 22226132934721800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105418494 and 105418503.

It is not an unprimeable number, because it can be changed into a prime (105418531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546114 + ... + 546306.

It is an arithmetic number, because the mean of its divisors is an integer number (1786740).

Almost surely, 2^105418530 is an apocalyptic number.

105418530 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 105418530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171527040).

105418530 is an abundant number, since it is smaller than the sum of its proper divisors (237635550).

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

105418530 is a wasteful number, since it uses less digits than its factorization.

105418530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105418530 is about 10267.3526285991. The cubic root of 105418530 is about 472.3953913040.

The spelling of 105418530 in words is "one hundred five million, four hundred eighteen thousand, five hundred thirty".