106169760 has 144 divisors (see below), whose sum is σ = 383704776. Its totient is φ = 26640384.

The previous prime is 106169753. The next prime is 106169809. The reversal of 106169760 is 67961601.

It can be written as a sum of positive squares in 4 ways, for example, as 66781584 + 39388176 = 8172^2 + 6276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106169760² = 22544035876915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22312 + ... + 26648.

Almost surely, 2^106169760 is an apocalyptic number.

106169760 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 106169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191852388).

106169760 is an abundant number, since it is smaller than the sum of its proper divisors (277535016).

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

106169760 is a wasteful number, since it uses less digits than its factorization.

106169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 106169760 is about 10303.8711172064. The cubic root of 106169760 is about 473.5148590709.

It can be divided in two parts, 106169 and 760, that added together give a square (106929 = 327²).

The spelling of 106169760 in words is "one hundred six million, one hundred sixty-nine thousand, seven hundred sixty".