106286800 has 30 divisors (see below), whose sum is σ = 255354998. Its totient is φ = 42514560.

The previous prime is 106286797. The next prime is 106286849. The reversal of 106286800 is 8682601.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 75550864 = 5544^2 + 8692^2 .

It is a super-2 number, since 2×106286800² = 22593767708480000, 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 5 ways as a sum of consecutive naturals, for example, 132459 + ... + 133258.

Almost surely, 2^106286800 is an apocalyptic number.

106286800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106286800 is an abundant number, since it is smaller than the sum of its proper divisors (149068198).

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

106286800 is a wasteful number, since it uses less digits than its factorization.

106286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265735 (or 265724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 106286800 is about 10309.5489717058. The cubic root of 106286800 is about 473.6887938045.

The spelling of 106286800 in words is "one hundred six million, two hundred eighty-six thousand, eight hundred".