105973146 has 48 divisors (see below), whose sum is σ = 243303840. Its totient is φ = 33242400.

The previous prime is 105973123. The next prime is 105973157. The reversal of 105973146 is 641379501.

It is a super-3 number, since 3×105973146³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105973146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54796 + ... + 56696.

It is an arithmetic number, because the mean of its divisors is an integer number (5068830).

Almost surely, 2^105973146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105973146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651920).

105973146 is an abundant number, since it is smaller than the sum of its proper divisors (137330694).

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

105973146 is a wasteful number, since it uses less digits than its factorization.

105973146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 105973146 is about 10294.3259128512. The cubic root of 105973146 is about 473.2223803726. Note that the first 3 decimals are identical.

The spelling of 105973146 in words is "one hundred five million, nine hundred seventy-three thousand, one hundred forty-six".