1020105045 has 24 divisors (see below), whose sum is σ = 1801548216. Its totient is φ = 533789568.

The previous prime is 1020105029. The next prime is 1020105089. The reversal of 1020105045 is 5405010201.

It can be written as a sum of positive squares in 4 ways, for example, as 552767121 + 467337924 = 23511^2 + 21618^2 .

It is not a de Polignac number, because 1020105045 - 2⁴ = 1020105029 is a prime.

It is a super-2 number, since 2×1020105045² = 2081228605668904050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211474 + ... + 216243.

It is an arithmetic number, because the mean of its divisors is an integer number (75064509).

Almost surely, 2^1020105045 is an apocalyptic number.

1020105045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020105045 is a deficient number, since it is larger than the sum of its proper divisors (781443171).

1020105045 is a wasteful number, since it uses less digits than its factorization.

1020105045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427781 (or 427778 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1020105045 is about 31939.0833462703. The cubic root of 1020105045 is about 1006.6572641525.

Adding to 1020105045 its reverse (5405010201), we get a palindrome (6425115246).

The spelling of 1020105045 in words is "one billion, twenty million, one hundred five thousand, forty-five".