105412035536 has 40 divisors (see below), whose sum is σ = 206172994560. Its totient is φ = 52206690816.

The previous prime is 105412035499. The next prime is 105412035559. The reversal of 105412035536 is 635530214501.

It is a super-2 number, since 2×105412035536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105412035496 and 105412035505.

It is a congruent number.

It is an unprimeable number.

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, 2989175 + ... + 3024233.

It is an arithmetic number, because the mean of its divisors is an integer number (5154324864).

Almost surely, 2^105412035536 is an apocalyptic number.

105412035536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105412035536 is a deficient number, since it is larger than the sum of its proper divisors (100760959024).

105412035536 is a wasteful number, since it uses less digits than its factorization.

105412035536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36843 (or 36837 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 105412035536 in words is "one hundred five billion, four hundred twelve million, thirty-five thousand, five hundred thirty-six".