105953040 has 240 divisors, whose sum is σ = 378832896. Its totient is φ = 26496000.

The previous prime is 105953039. The next prime is 105953041. The reversal of 105953040 is 40359501.

105953040 is a `hidden beast` number, since 1 + 0 + 595 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (105953039) and next prime (105953041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105953040² = 22452093370483200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105952995 and 105953013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105953041) 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, 1048990 + ... + 1049090.

Almost surely, 2^105953040 is an apocalyptic number.

105953040 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 105953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189416448).

105953040 is an abundant number, since it is smaller than the sum of its proper divisors (272879856).

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

105953040 is a wasteful number, since it uses less digits than its factorization.

105953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105953040 is about 10293.3493091413. The cubic root of 105953040 is about 473.1924507432.

The spelling of 105953040 in words is "one hundred five million, nine hundred fifty-three thousand, forty".