1050205905 has 192 divisors, whose sum is σ = 2328668160. Its totient is φ = 443418624.

The previous prime is 1050205883. The next prime is 1050205973. The reversal of 1050205905 is 5095020501.

1050205905 is a `hidden beast` number, since 1 + 0 + 50 + 20 + 590 + 5 = 666.

It is not a de Polignac number, because 1050205905 - 2⁸ = 1050205649 is a prime.

It is a super-2 number, since 2×1050205905² = 2205864885793738050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10826817 + ... + 10826913.

It is an arithmetic number, because the mean of its divisors is an integer number (12128480).

Almost surely, 2^1050205905 is an apocalyptic number.

1050205905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1050205905 is an abundant number, since it is smaller than the sum of its proper divisors (1278462255).

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

1050205905 is an equidigital number, since it uses as much as digits as its factorization.

1050205905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 1050205905 is about 32406.8805194206. The cubic root of 1050205905 is about 1016.4627909143.

The spelling of 1050205905 in words is "one billion, fifty million, two hundred five thousand, nine hundred five".