106565010 has 64 divisors (see below), whose sum is σ = 272305152. Its totient is φ = 26597376.

The previous prime is 106565009. The next prime is 106565021. The reversal of 106565010 is 10565601.

It is a super-2 number, since 2×106565010² = 22712202712600200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113262 + ... + 114198.

It is an arithmetic number, because the mean of its divisors is an integer number (4254768).

Almost surely, 2^106565010 is an apocalyptic number.

106565010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106565010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152576).

106565010 is an abundant number, since it is smaller than the sum of its proper divisors (165740142).

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

106565010 is a wasteful number, since it uses less digits than its factorization.

106565010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106565010 is about 10323.0329845448. The cubic root of 106565010 is about 474.1017335803.

The spelling of 106565010 in words is "one hundred six million, five hundred sixty-five thousand, ten".