106352610 has 128 divisors (see below), whose sum is σ = 317399040. Its totient is φ = 22208256.

The previous prime is 106352581. The next prime is 106352611. The reversal of 106352610 is 16253601.

It is a super-2 number, since 2×106352610² = 22621755307624200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106352611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444871 + ... + 445109.

It is an arithmetic number, because the mean of its divisors is an integer number (2479680).

Almost surely, 2^106352610 is an apocalyptic number.

106352610 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 106352610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158699520).

106352610 is an abundant number, since it is smaller than the sum of its proper divisors (211046430).

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

106352610 is a wasteful number, since it uses less digits than its factorization.

106352610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106352610 is about 10312.7401790213. The cubic root of 106352610 is about 473.7865388609.

Subtracting from 106352610 its reverse (16253601), we obtain a palindrome (90099009).

The spelling of 106352610 in words is "one hundred six million, three hundred fifty-two thousand, six hundred ten".