105704207540 has 24 divisors (see below), whose sum is σ = 223261957800. Its totient is φ = 42037278848.

The previous prime is 105704207467. The next prime is 105704207549. The reversal of 105704207540 is 45702407501.

105704207540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57644168464 + 48060039076 = 240092^2 + 219226^2 .

It is a super-2 number, since 2×105704207540² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105704207540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105704207549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15271715 + ... + 15278634.

It is an arithmetic number, because the mean of its divisors is an integer number (9302581575).

Almost surely, 2^105704207540 is an apocalyptic number.

105704207540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105704207540 is an abundant number, since it is smaller than the sum of its proper divisors (117557750260).

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

105704207540 is a wasteful number, since it uses less digits than its factorization.

105704207540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30550531 (or 30550529 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The spelling of 105704207540 in words is "one hundred five billion, seven hundred four million, two hundred seven thousand, five hundred forty".