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106252 = 22101263
BaseRepresentation
bin11001111100001100
312101202021
4121330030
511400002
62135524
7621526
oct317414
9171667
10106252
1172913
12515a4
1339493
142aa16
1521737
hex19f0c

106252 has 12 divisors (see below), whose sum is σ = 188496. Its totient is φ = 52400.

The previous prime is 106243. The next prime is 106261. The reversal of 106252 is 252601.

It is a happy number.

106252 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (106243) and next prime (106261).

It is a super-2 number, since 2×1062522 = 22578975008, which contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (15708).

2106252 is an apocalyptic number.

It is an amenable number.

106252 is a deficient number, since it is larger than the sum of its proper divisors (82244).

106252 is a wasteful number, since it uses less digits than its factorization.

106252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 106252 is about 325.9631881057. The cubic root of 106252 is about 47.3637090396.

Adding to 106252 its reverse (252601), we get a palindrome (358853).

The spelling of 106252 in words is "one hundred six thousand, two hundred fifty-two".

Divisors: 1 2 4 101 202 263 404 526 1052 26563 53126 106252