109952 has 16 divisors (see below), whose sum is σ = 219300. Its totient is φ = 54912.

The previous prime is 109943. The next prime is 109961. The reversal of 109952 is 259901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109943) and next prime (109961).

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an unprimeable number.

109952 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, 302 + ... + 557.

2^{109952} is an apocalyptic number.

It is an amenable number.

109952 is a deficient number, since it is larger than the sum of its proper divisors (109348).

109952 is an frugal number, since it uses more digits than its factorization.

109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 109952 is about 331.5901084170. The cubic root of 109952 is about 47.9072282187.

The spelling of 109952 in words is "one hundred nine thousand, nine hundred fifty-two".

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