105154048 has 40 divisors (see below), whose sum is σ = 213725160. Its totient is φ = 51685888.

The previous prime is 105154043. The next prime is 105154051. The reversal of 105154048 is 840451501.

The cubic root of 105154048 is 472.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×105154048² = 22114747621572608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105154043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1782243 + ... + 1782301.

It is an arithmetic number, because the mean of its divisors is an integer number (5343129).

Almost surely, 2^105154048 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 105154048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106862580).

105154048 is an abundant number, since it is smaller than the sum of its proper divisors (108571112).

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

105154048 is an frugal number, since it uses more digits than its factorization.

105154048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 105154048 is about 10254.4647836930.

The spelling of 105154048 in words is "one hundred five million, one hundred fifty-four thousand, forty-eight".