106661310 has 64 divisors (see below), whose sum is σ = 293455872. Its totient is φ = 24304896.

The previous prime is 106661299. The next prime is 106661311. The reversal of 106661310 is 13166601.

It is a super-2 number, since 2×106661310² = 22753270101832200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106661311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96682 + ... + 97778.

It is an arithmetic number, because the mean of its divisors is an integer number (4585248).

Almost surely, 2^106661310 is an apocalyptic number.

106661310 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 106661310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146727936).

106661310 is an abundant number, since it is smaller than the sum of its proper divisors (186794562).

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

106661310 is a wasteful number, since it uses less digits than its factorization.

106661310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106661310 is about 10327.6962581207. The cubic root of 106661310 is about 474.2445016775.

The spelling of 106661310 in words is "one hundred six million, six hundred sixty-one thousand, three hundred ten".