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100952 = 2312619
BaseRepresentation
bin11000101001011000
312010110222
4120221120
511212302
62055212
7600215
oct305130
9163428
10100952
1169935
124a508
1336c47
1428b0c
151eda2
hex18a58

100952 has 8 divisors (see below), whose sum is σ = 189300. Its totient is φ = 50472.

The previous prime is 100943. The next prime is 100957. The reversal of 100952 is 259001.

Adding to 100952 its reverse (259001), we get a palindrome (359953).

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100957) by changing a digit.

100952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6302 + ... + 6317.

2100952 is an apocalyptic number.

It is an amenable number.

100952 is a deficient number, since it is larger than the sum of its proper divisors (88348).

100952 is a wasteful number, since it uses less digits than its factorization.

100952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12625 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 100952 is about 317.7294446538. The cubic root of 100952 is about 46.5627164682.

The spelling of 100952 in words is "one hundred thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 12619 25238 50476 100952