106629120 has 288 divisors, whose sum is σ = 402456600. Its totient is φ = 25952256.

The previous prime is 106629097. The next prime is 106629161. The reversal of 106629120 is 21926601.

106629120 is a `hidden beast` number, since 10 + 6 + 629 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 57517056 = 7008^2 + 7584^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106629120² = 22739538463948800, which contains 22 as substring.

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, 1198036 + ... + 1198124.

Almost surely, 2^106629120 is an apocalyptic number.

106629120 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 106629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201228300).

106629120 is an abundant number, since it is smaller than the sum of its proper divisors (295827480).

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

106629120 is a wasteful number, since it uses less digits than its factorization.

106629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106629120 is about 10326.1377097151. The cubic root of 106629120 is about 474.1967884486.

The spelling of 106629120 in words is "one hundred six million, six hundred twenty-nine thousand, one hundred twenty".