949132107 has 100 divisors (see below), whose sum is σ = 1804404200. Its totient is φ = 493055640.

The previous prime is 949132091. The next prime is 949132133. The reversal of 949132107 is 701231949.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

949132107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 949132107 - 2⁴ = 949132091 is a prime.

It is a super-3 number, since 3×949132107³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (949134107) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 86284732 + ... + 86284742.

It is an arithmetic number, because the mean of its divisors is an integer number (18044042).

Almost surely, 2^949132107 is an apocalyptic number.

949132107 is a deficient number, since it is larger than the sum of its proper divisors (855272093).

949132107 is an frugal number, since it uses more digits than its factorization.

949132107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 949132107 is about 30807.9877142276. The cubic root of 949132107 is about 982.7481198416.

It can be divided in two parts, 94913 and 2107, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 949132107 in words is "nine hundred forty-nine million, one hundred thirty-two thousand, one hundred seven".