106661760 has 128 divisors (see below), whose sum is σ = 345094560. Its totient is φ = 28016640.

The previous prime is 106661743. The next prime is 106661777. The reversal of 106661760 is 67166601.

It is an interprime number because it is at equal distance from previous prime (106661743) and next prime (106661777).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106661760² = 22753462092595200, which contains 22 as substring.

It is a congruent number.

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, 139780 + ... + 140540.

Almost surely, 2^106661760 is an apocalyptic number.

106661760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172547280).

106661760 is an abundant number, since it is smaller than the sum of its proper divisors (238432800).

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

106661760 is an equidigital number, since it uses as much as digits as its factorization.

106661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 106661760 is about 10327.7180441761. The cubic root of 106661760 is about 474.2451686164.

It can be divided in two parts, 1066 and 61760, that added together give a palindrome (62826).

The spelling of 106661760 in words is "one hundred six million, six hundred sixty-one thousand, seven hundred sixty".