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106022160 = 24325147253
BaseRepresentation
bin1100101000111…
…00010100010000
321101111111001200
412110130110100
5204120202120
614304231200
72425113336
oct624342420
9241444050
10106022160
1154935022
122b60b500
1318c7190a
141011bb56
159493e90
hex651c510

106022160 has 60 divisors (see below), whose sum is σ = 356060172. Its totient is φ = 28272384.

The previous prime is 106022159. The next prime is 106022171. The reversal of 106022160 is 61220601.

It is a happy number.

106022160 is a `hidden beast` number, since 1 + 0 + 602 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 82519056 = 4848^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1060221602 = 22481396822131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72907 + ... + 74346.

Almost surely, 2106022160 is an apocalyptic number.

106022160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106022160 is an abundant number, since it is smaller than the sum of its proper divisors (250038012).

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

106022160 is a wasteful number, since it uses less digits than its factorization.

106022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147272 (or 147263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106022160 is about 10296.7062694825. The cubic root of 106022160 is about 473.2953263582.

Adding to 106022160 its reverse (61220601), we get a palindrome (167242761).

It can be divided in two parts, 1060 and 22160, that added together give a triangular number (23220 = T215).

The spelling of 106022160 in words is "one hundred six million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 147253 294506 441759 589012 736265 883518 1178024 1325277 1472530 1767036 2208795 2356048 2650554 2945060 3534072 4417590 5301108 5890120 6626385 7068144 8835180 10602216 11780240 13252770 17670360 21204432 26505540 35340720 53011080 106022160