105195072 has 56 divisors (see below), whose sum is σ = 280025856. Its totient is φ = 34851328.

The previous prime is 105195067. The next prime is 105195109. The reversal of 105195072 is 270591501.

It is a super-2 number, since 2×105195072² = 22132006346170368, which contains 22 as substring.

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, 31633 + ... + 34799.

Almost surely, 2^105195072 is an apocalyptic number.

105195072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140012928).

105195072 is an abundant number, since it is smaller than the sum of its proper divisors (174830784).

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

105195072 is a wasteful number, since it uses less digits than its factorization.

105195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 105195072 is about 10256.4648880596. The cubic root of 105195072 is about 472.0613728488.

The spelling of 105195072 in words is "one hundred five million, one hundred ninety-five thousand, seventy-two".