105342536540 has 48 divisors (see below), whose sum is σ = 236229799680. Its totient is φ = 39371619840.

The previous prime is 105342536477. The next prime is 105342536543. The reversal of 105342536540 is 45635243501.

It is a super-2 number, since 2×105342536540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105342536494 and 105342536503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342536543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911457 + ... + 2947416.

It is an arithmetic number, because the mean of its divisors is an integer number (4921454160).

Almost surely, 2^105342536540 is an apocalyptic number.

105342536540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105342536540 is an abundant number, since it is smaller than the sum of its proper divisors (130887263140).

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

105342536540 is a wasteful number, since it uses less digits than its factorization.

105342536540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858942 (or 5858940 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 105342536540 in words is "one hundred five billion, three hundred forty-two million, five hundred thirty-six thousand, five hundred forty".