105435078740 has 24 divisors (see below), whose sum is σ = 221494913640. Its totient is φ = 42158555648.

The previous prime is 105435078733. The next prime is 105435078799. The reversal of 105435078740 is 47870534501.

It can be written as a sum of positive squares in 4 ways, for example, as 55764933316 + 49670145424 = 236146^2 + 222868^2 .

It is a super-2 number, since 2×105435078740² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105435078691 and 105435078700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911297 + ... + 1020456.

It is an arithmetic number, because the mean of its divisors is an integer number (9228954735).

Almost surely, 2^105435078740 is an apocalyptic number.

105435078740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105435078740 is an abundant number, since it is smaller than the sum of its proper divisors (116059834900).

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

105435078740 is a wasteful number, since it uses less digits than its factorization.

105435078740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934491 (or 1934489 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 105435078740 in words is "one hundred five billion, four hundred thirty-five million, seventy-eight thousand, seven hundred forty".