100949 has 6 divisors (see below), whose sum is σ = 106230. Its totient is φ = 95816.

The previous prime is 100943. The next prime is 100957. The reversal of 100949 is 949001.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 13924 = 295^2 + 118^2 .

It is not a de Polignac number, because 100949 - 2⁸ = 100693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1682 + ... + 1740.

It is an arithmetic number, because the mean of its divisors is an integer number (17705).

2¹⁰⁰⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

100949 is a deficient number, since it is larger than the sum of its proper divisors (5281).

100949 is an frugal number, since it uses more digits than its factorization.

100949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 100949 is about 317.7247236209. The cubic root of 100949 is about 46.5622552275.

The spelling of 100949 in words is "one hundred thousand, nine hundred forty-nine".