106753760 has 24 divisors (see below), whose sum is σ = 252206136. Its totient is φ = 42701440.

The previous prime is 106753747. The next prime is 106753763. The reversal of 106753760 is 67357601.

It is a super-2 number, since 2×106753760² = 22792730548275200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106753760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106753763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333446 + ... + 333765.

It is an arithmetic number, because the mean of its divisors is an integer number (10508589).

Almost surely, 2^106753760 is an apocalyptic number.

106753760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106753760 is an abundant number, since it is smaller than the sum of its proper divisors (145452376).

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

106753760 is an equidigital number, since it uses as much as digits as its factorization.

106753760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667226 (or 667218 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 106753760 is about 10332.1711174370. The cubic root of 106753760 is about 474.3814811904.

The spelling of 106753760 in words is "one hundred six million, seven hundred fifty-three thousand, seven hundred sixty".