105163072 has 56 divisors (see below), whose sum is σ = 239938560. Its totient is φ = 44797440.

The previous prime is 105163063. The next prime is 105163087. The reversal of 105163072 is 270361501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105163072² = 22118543424954368, which contains 22 as substring.

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, 84954 + ... + 86182.

Almost surely, 2^105163072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119969280).

105163072 is an abundant number, since it is smaller than the sum of its proper divisors (134775488).

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

105163072 is a wasteful number, since it uses less digits than its factorization.

105163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105163072 is about 10254.9047777149. The cubic root of 105163072 is about 472.0135014811.

The spelling of 105163072 in words is "one hundred five million, one hundred sixty-three thousand, seventy-two".