905264101 has 16 divisors (see below), whose sum is σ = 1092636160. Its totient is φ = 732674160.

The previous prime is 905264099. The next prime is 905264119. The reversal of 905264101 is 101462509.

It is a cyclic number.

It is not a de Polignac number, because 905264101 - 2¹ = 905264099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 905264101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905264141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29746 + ... + 51916.

It is an arithmetic number, because the mean of its divisors is an integer number (68289760).

Almost surely, 2^905264101 is an apocalyptic number.

It is an amenable number.

905264101 is a deficient number, since it is larger than the sum of its proper divisors (187372059).

905264101 is a wasteful number, since it uses less digits than its factorization.

905264101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22504.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 905264101 is about 30087.6070999340. The cubic root of 905264101 is about 967.3681092929.

It can be divided in two parts, 9052 and 64101, that added together give a triangular number (73153 = T₃₈₂).

The spelling of 905264101 in words is "nine hundred five million, two hundred sixty-four thousand, one hundred one".