48105090 has 80 divisors (see below), whose sum is σ = 141134400. Its totient is φ = 11659680.

The previous prime is 48105073. The next prime is 48105103. The reversal of 48105090 is 9050184.

It is a super-3 number, since 3×48105090³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 39 ways as a sum of consecutive naturals, for example, 6211 + ... + 11609.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180).

Almost surely, 2^48105090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48105090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70567200).

48105090 is an abundant number, since it is smaller than the sum of its proper divisors (93029310).

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

48105090 is a wasteful number, since it uses less digits than its factorization.

48105090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 48105090 is about 6935.7833011131. The cubic root of 48105090 is about 363.6891491365.

The spelling of 48105090 in words is "forty-eight million, one hundred five thousand, ninety".