106214810 has 48 divisors (see below), whose sum is σ = 219261816. Its totient is φ = 36900864.

The previous prime is 106214803. The next prime is 106214813. The reversal of 106214810 is 18412601.

It can be written as a sum of positive squares in 12 ways, for example, as 2765569 + 103449241 = 1663^2 + 10171^2 .

It is a super-2 number, since 2×106214810² = 22563171726672200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106214813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26882 + ... + 30578.

Almost surely, 2^106214810 is an apocalyptic number.

106214810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106214810 is an abundant number, since it is smaller than the sum of its proper divisors (113047006).

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

106214810 is a wasteful number, since it uses less digits than its factorization.

106214810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 106214810 is about 10306.0569569550. The cubic root of 106214810 is about 473.5818236125.

The spelling of 106214810 in words is "one hundred six million, two hundred fourteen thousand, eight hundred ten".