105196100 has 18 divisors (see below), whose sum is σ = 228275754. Its totient is φ = 42078400.

The previous prime is 105196099. The next prime is 105196111. The reversal of 105196100 is 1691501.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 104816644 = 616^2 + 10238^2 .

It is a super-2 number, since 2×105196100² = 22132438910420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 525881 + ... + 526080.

Almost surely, 2^105196100 is an apocalyptic number.

105196100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105196100 is an abundant number, since it is smaller than the sum of its proper divisors (123079654).

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

105196100 is a wasteful number, since it uses less digits than its factorization.

105196100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051975 (or 1051968 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 105196100 is about 10256.5150026703. The cubic root of 105196100 is about 472.0629105555.

The spelling of 105196100 in words is "one hundred five million, one hundred ninety-six thousand, one hundred".