105286100 has 36 divisors (see below), whose sum is σ = 241914204. Its totient is φ = 39636480.

The previous prime is 105286099. The next prime is 105286177. The reversal of 105286100 is 1682501.

It can be written as a sum of positive squares in 6 ways, for example, as 59536 + 105226564 = 244^2 + 10258^2 .

It is a super-2 number, since 2×105286100² = 22170325706420000, 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, 29267 + ... + 32666.

It is an arithmetic number, because the mean of its divisors is an integer number (6719839).

Almost surely, 2^105286100 is an apocalyptic number.

105286100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105286100 is an abundant number, since it is smaller than the sum of its proper divisors (136628104).

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

105286100 is a wasteful number, since it uses less digits than its factorization.

105286100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61964 (or 61957 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 105286100 is about 10260.9015198471. The cubic root of 105286100 is about 472.1974958731.

The spelling of 105286100 in words is "one hundred five million, two hundred eighty-six thousand, one hundred".