105261040 has 40 divisors (see below), whose sum is σ = 246011040. Its totient is φ = 41884416.

The previous prime is 105261019. The next prime is 105261049. The reversal of 105261040 is 40162501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105261040² = 22159773083763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105260999 and 105261017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12421 + ... + 19099.

It is an arithmetic number, because the mean of its divisors is an integer number (6150276).

Almost surely, 2^105261040 is an apocalyptic number.

105261040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105261040 is an abundant number, since it is smaller than the sum of its proper divisors (140750000).

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

105261040 is a wasteful number, since it uses less digits than its factorization.

105261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105261040 is about 10259.6803069102. The cubic root of 105261040 is about 472.1600290463.

The spelling of 105261040 in words is "one hundred five million, two hundred sixty-one thousand, forty".