106931280 has 80 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 27816960.

The previous prime is 106931243. The next prime is 106931281. The reversal of 106931280 is 82139601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106931280² = 22868597284876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106931281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4407 + ... + 15273.

Almost surely, 2^106931280 is an apocalyptic number.

106931280 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 106931280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

106931280 is an abundant number, since it is smaller than the sum of its proper divisors (232671984).

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

106931280 is a wasteful number, since it uses less digits than its factorization.

106931280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106931280 is about 10340.7581927052. The cubic root of 106931280 is about 474.6442840026.

The spelling of 106931280 in words is "one hundred six million, nine hundred thirty-one thousand, two hundred eighty".