105010100 has 36 divisors (see below), whose sum is σ = 245403564. Its totient is φ = 38772480.

The previous prime is 105010069. The next prime is 105010127. The reversal of 105010100 is 1010501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29584 + 104980516 = 172^2 + 10246^2 .

It is a super-2 number, since 2×105010100² = 22054242204020000, which contains 22 as substring.

It is a congruent number.

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, 39089 + ... + 41688.

Almost surely, 2^105010100 is an apocalyptic number.

105010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010100 is an abundant number, since it is smaller than the sum of its proper divisors (140393464).

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

105010100 is a wasteful number, since it uses less digits than its factorization.

105010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80804 (or 80797 counting only the distinct ones).

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

The square root of 105010100 is about 10247.4435836456. The cubic root of 105010100 is about 471.7845241210.

Adding to 105010100 its reverse (1010501), we get a palindrome (106020601).

The spelling of 105010100 in words is "one hundred five million, ten thousand, one hundred".