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106144 = 2531107
BaseRepresentation
bin11001111010100000
312101121021
4121322200
511344034
62135224
7621313
oct317240
9171537
10106144
1172825
1251514
133940c
142a97a
15216b4
hex19ea0

106144 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 50880.

The previous prime is 106129. The next prime is 106163. The reversal of 106144 is 441601.

It is a happy number.

It is a super-2 number, since 2×1061442 = 22533097472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

106144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 939 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2106144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

106144 is an abundant number, since it is smaller than the sum of its proper divisors (111584).

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

106144 is a wasteful number, since it uses less digits than its factorization.

106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 106144 is about 325.7974831088. The cubic root of 106144 is about 47.3476559623.

Adding to 106144 its reverse (441601), we get a palindrome (547745).

The spelling of 106144 in words is "one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 107 124 214 248 428 496 856 992 1712 3317 3424 6634 13268 26536 53072 106144