105140646 has 96 divisors (see below), whose sum is σ = 260094240. Its totient is φ = 31449600.

The previous prime is 105140639. The next prime is 105140647. The reversal of 105140646 is 646041501.

105140646 is a `hidden beast` number, since 1 + 0 + 5 + 14 + 0 + 646 = 666.

It is a super-2 number, since 2×105140646² = 22109110882594632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105140647) 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 47 ways as a sum of consecutive naturals, for example, 374026 + ... + 374306.

It is an arithmetic number, because the mean of its divisors is an integer number (2709315).

Almost surely, 2^105140646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105140646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130047120).

105140646 is an abundant number, since it is smaller than the sum of its proper divisors (154953594).

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

105140646 is a wasteful number, since it uses less digits than its factorization.

105140646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105140646 is about 10253.8112914175. The cubic root of 105140646 is about 471.9799468403.

The spelling of 105140646 in words is "one hundred five million, one hundred forty thousand, six hundred forty-six".