105425041140 has 36 divisors (see below), whose sum is σ = 319789292004. Its totient is φ = 28113344256.

The previous prime is 105425041133. The next prime is 105425041151. The reversal of 105425041140 is 41140524501.

105425041140 is a `hidden beast` number, since 1 + 0 + 5 + 42 + 504 + 114 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64447945956 + 40977095184 = 253866^2 + 202428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105425041140² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292847157 + ... + 292847516.

It is an arithmetic number, because the mean of its divisors is an integer number (8883035889).

Almost surely, 2^105425041140 is an apocalyptic number.

105425041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105425041140 is an abundant number, since it is smaller than the sum of its proper divisors (214364250864).

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

105425041140 is a wasteful number, since it uses less digits than its factorization.

105425041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585694688 (or 585694683 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 105425041140 its reverse (41140524501), we get a palindrome (146565565641).

The spelling of 105425041140 in words is "one hundred five billion, four hundred twenty-five million, forty-one thousand, one hundred forty".