106207120 has 40 divisors (see below), whose sum is σ = 248734080. Its totient is φ = 42172800.

The previous prime is 106207117. The next prime is 106207121. The reversal of 106207120 is 21702601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106207120² = 22559904677388800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106207121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6345 + ... + 15895.

It is an arithmetic number, because the mean of its divisors is an integer number (6218352).

Almost surely, 2^106207120 is an apocalyptic number.

106207120 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 106207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124367040).

106207120 is an abundant number, since it is smaller than the sum of its proper divisors (142526960).

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

106207120 is a wasteful number, since it uses less digits than its factorization.

106207120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9703 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 106207120 is about 10305.6838686232. The cubic root of 106207120 is about 473.5703941576.

Adding to 106207120 its reverse (21702601), we get a palindrome (127909721).

The spelling of 106207120 in words is "one hundred six million, two hundred seven thousand, one hundred twenty".