106313610 has 64 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 25900800.

The previous prime is 106313609. The next prime is 106313629. The reversal of 106313610 is 16313601.

It is a super-2 number, since 2×106313610² = 22605167342464200, 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, 38041 + ... + 40739.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^106313610 is an apocalyptic number.

106313610 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 106313610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

106313610 is an abundant number, since it is smaller than the sum of its proper divisors (171289590).

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

106313610 is a wasteful number, since it uses less digits than its factorization.

106313610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106313610 is about 10310.8491405897. The cubic root of 106313610 is about 473.7286185332.

Subtracting from 106313610 its reverse (16313601), we obtain a palindrome (90000009).

It can be divided in two parts, 10631 and 3610, that added together give a palindrome (14241).

The spelling of 106313610 in words is "one hundred six million, three hundred thirteen thousand, six hundred ten".