905355034107 has 32 divisors (see below), whose sum is σ = 1282938289920. Its totient is φ = 566287378560.

The previous prime is 905355034079. The next prime is 905355034121. The reversal of 905355034107 is 701430553509.

It is not a de Polignac number, because 905355034107 - 2¹⁸ = 905354771963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (905355034127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21819793 + ... + 21861245.

It is an arithmetic number, because the mean of its divisors is an integer number (40091821560).

Almost surely, 2^905355034107 is an apocalyptic number.

905355034107 is a deficient number, since it is larger than the sum of its proper divisors (377583255813).

905355034107 is a wasteful number, since it uses less digits than its factorization.

905355034107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45163.

The product of its (nonzero) digits is 283500, while the sum is 42.

The spelling of 905355034107 in words is "nine hundred five billion, three hundred fifty-five million, thirty-four thousand, one hundred seven".