1000105100 has 36 divisors (see below), whose sum is σ = 2171673504. Its totient is φ = 399775680.

The previous prime is 1000105013. The next prime is 1000105129. The reversal of 1000105100 is 15010001.

It is a happy number.

1000105100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000105100² = 2000420422092020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226514 + ... + 230886.

It is an arithmetic number, because the mean of its divisors is an integer number (60324264).

Almost surely, 2^1000105100 is an apocalyptic number.

1000105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000105100 is an abundant number, since it is smaller than the sum of its proper divisors (1171568404).

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

1000105100 is a wasteful number, since it uses less digits than its factorization.

1000105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 1000105100 is about 31624.4383349333. The cubic root of 1000105100 is about 1000.0350321061.

Adding to 1000105100 its reverse (15010001), we get a palindrome (1015115101).

The spelling of 1000105100 in words is "one billion, one hundred five thousand, one hundred".