105166944 has 48 divisors (see below), whose sum is σ = 306739440. Its totient is φ = 35055360.

The previous prime is 105166937. The next prime is 105166951. The reversal of 105166944 is 449661501.

It is an interprime number because it is at equal distance from previous prime (105166937) and next prime (105166951).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105166944² = 22120172220598272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105166899 and 105166908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59997 + ... + 61724.

It is an arithmetic number, because the mean of its divisors is an integer number (6390405).

Almost surely, 2^105166944 is an apocalyptic number.

It is an amenable number.

105166944 is an abundant number, since it is smaller than the sum of its proper divisors (201572496).

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

105166944 is a wasteful number, since it uses less digits than its factorization.

105166944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121740 (or 121726 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105166944 is about 10255.0935636882. The cubic root of 105166944 is about 472.0192944330.

The spelling of 105166944 in words is "one hundred five million, one hundred sixty-six thousand, nine hundred forty-four".