1012105263 has 16 divisors (see below), whose sum is σ = 1453907840. Its totient is φ = 622564704.

The previous prime is 1012105253. The next prime is 1012105277. The reversal of 1012105263 is 3625012101.

It is not a de Polignac number, because 1012105263 - 2⁴ = 1012105247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012105253) 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, 123120 + ... + 131082.

It is an arithmetic number, because the mean of its divisors is an integer number (90869240).

Almost surely, 2^1012105263 is an apocalyptic number.

1012105263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1012105263 is a deficient number, since it is larger than the sum of its proper divisors (441802577).

1012105263 is a wasteful number, since it uses less digits than its factorization.

1012105263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11238.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1012105263 is about 31813.6018551814. The cubic root of 1012105263 is about 1004.0189143567.

Adding to 1012105263 its reverse (3625012101), we get a palindrome (4637117364).

The spelling of 1012105263 in words is "one billion, twelve million, one hundred five thousand, two hundred sixty-three".