105206040 has 160 divisors (see below), whose sum is σ = 372438000. Its totient is φ = 26562816.

The previous prime is 105206039. The next prime is 105206083. The reversal of 105206040 is 40602501.

It is a happy number.

105206040 is a `hidden beast` number, since 10 + 52 + 0 + 604 + 0 = 666.

It is a super-2 number, since 2×105206040² = 22136621704963200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60706 + ... + 62414.

Almost surely, 2^105206040 is an apocalyptic number.

105206040 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 105206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186219000).

105206040 is an abundant number, since it is smaller than the sum of its proper divisors (267231960).

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

105206040 is a wasteful number, since it uses less digits than its factorization.

105206040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1738 counting only the distinct ones).

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

The square root of 105206040 is about 10256.9995612752. Note that the first 3 decimals coincide. The cubic root of 105206040 is about 472.0777785260.

Adding to 105206040 its reverse (40602501), we get a palindrome (145808541).

The spelling of 105206040 in words is "one hundred five million, two hundred six thousand, forty".