106832810 has 32 divisors (see below), whose sum is σ = 227352960. Its totient is φ = 35364672.

The previous prime is 106832771. The next prime is 106832819. The reversal of 106832810 is 18238601.

It is a super-2 number, since 2×106832810² = 22826498584992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (106832819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24284 + ... + 28343.

It is an arithmetic number, because the mean of its divisors is an integer number (7104780).

Almost surely, 2^106832810 is an apocalyptic number.

106832810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106832810 is an abundant number, since it is smaller than the sum of its proper divisors (120520150).

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

106832810 is a wasteful number, since it uses less digits than its factorization.

106832810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52670.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 106832810 is about 10335.9958397824. The cubic root of 106832810 is about 474.4985437458.

The spelling of 106832810 in words is "one hundred six million, eight hundred thirty-two thousand, eight hundred ten".