105948544428 has 36 divisors (see below), whose sum is σ = 274690181640. Its totient is φ = 35315053920.

The previous prime is 105948544393. The next prime is 105948544451. The reversal of 105948544428 is 824445849501.

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.

105948544428 is a `hidden beast` number, since 1 + 0 + 5 + 94 + 8 + 544 + 4 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105948544428² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367008 + ... + 3398328.

Almost surely, 2^105948544428 is an apocalyptic number.

105948544428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105948544428 is an abundant number, since it is smaller than the sum of its proper divisors (168741637212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105948544428 is an frugal number, since it uses more digits than its factorization.

105948544428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62655 (or 31326 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 105948544428 in words is "one hundred five billion, nine hundred forty-eight million, five hundred forty-four thousand, four hundred twenty-eight".