2005100100 has 54 divisors (see below), whose sum is σ = 6284877690. Its totient is φ = 534693120.

The previous prime is 2005100099. The next prime is 2005100101. The reversal of 2005100100 is 10015002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005100099) and next prime (2005100101).

It can be written as a sum of positive squares in 3 ways, for example, as 10227204 + 1994872896 = 3198^2 + 44664^2 .

It is a super-2 number, since 2×2005100100² = 8040852822040020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2005100101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1113045 + ... + 1114844.

Almost surely, 2^2005100100 is an apocalyptic number.

2005100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005100100 is an abundant number, since it is smaller than the sum of its proper divisors (4279777590).

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

2005100100 is a wasteful number, since it uses less digits than its factorization.

2005100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227909 (or 2227899 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2005100100 is about 44778.3440962258. The cubic root of 2005100100 is about 1260.9910947448.

Adding to 2005100100 its reverse (10015002), we get a palindrome (2015115102).

The spelling of 2005100100 in words is "two billion, five million, one hundred thousand, one hundred".