106032810 has 32 divisors (see below), whose sum is σ = 274055040. Its totient is φ = 26100288.

The previous prime is 106032781. The next prime is 106032887. The reversal of 106032810 is 18230601.

It is a super-2 number, since 2×106032810² = 22485913592992200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135550 + ... + 136329.

It is an arithmetic number, because the mean of its divisors is an integer number (8564220).

Almost surely, 2^106032810 is an apocalyptic number.

106032810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106032810 is an abundant number, since it is smaller than the sum of its proper divisors (168022230).

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

106032810 is a wasteful number, since it uses less digits than its factorization.

106032810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271902.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106032810 is about 10297.2234121631. The cubic root of 106032810 is about 473.3111734429.

The spelling of 106032810 in words is "one hundred six million, thirty-two thousand, eight hundred ten".