106267120 has 80 divisors (see below), whose sum is σ = 256001472. Its totient is φ = 41000960.

The previous prime is 106267111. The next prime is 106267127. The reversal of 106267120 is 21762601.

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

It is a super-2 number, since 2×106267120² = 22585401586188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106267127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300864 + ... + 301216.

Almost surely, 2^106267120 is an apocalyptic number.

106267120 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 106267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128000736).

106267120 is an abundant number, since it is smaller than the sum of its proper divisors (149734352).

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

106267120 is a wasteful number, since it uses less digits than its factorization.

106267120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 106267120 is about 10308.5944725748. The cubic root of 106267120 is about 473.6595560224.

The spelling of 106267120 in words is "one hundred six million, two hundred sixty-seven thousand, one hundred twenty".