105058972 has 24 divisors (see below), whose sum is σ = 187905536. Its totient is φ = 51383808.

The previous prime is 105058957. The next prime is 105058973. The reversal of 105058972 is 279850501.

It is a super-2 number, since 2×105058972² = 22074775195393568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105058973) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35668 + ... + 38500.

Almost surely, 2^105058972 is an apocalyptic number.

It is an amenable number.

105058972 is a deficient number, since it is larger than the sum of its proper divisors (82846564).

105058972 is a wasteful number, since it uses less digits than its factorization.

105058972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 105058972 is about 10249.8279009942. The cubic root of 105058972 is about 471.8577027240.

It can be divided in two parts, 105058 and 972, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 105058972 in words is "one hundred five million, fifty-eight thousand, nine hundred seventy-two".