48105577 has 8 divisors (see below), whose sum is σ = 53592840. Its totient is φ = 42873600.

The previous prime is 48105559. The next prime is 48105599. The reversal of 48105577 is 77550184.

It can be written as a sum of positive squares in 4 ways, for example, as 2893401 + 45212176 = 1701^2 + 6724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48105577 - 2¹¹ = 48103529 is a prime.

It is a super-3 number, since 3×48105577³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48105527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63424 + ... + 64177.

It is an arithmetic number, because the mean of its divisors is an integer number (6699105).

Almost surely, 2^48105577 is an apocalyptic number.

It is an amenable number.

48105577 is a deficient number, since it is larger than the sum of its proper divisors (5487263).

48105577 is a wasteful number, since it uses less digits than its factorization.

48105577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127643.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 48105577 is about 6935.8184088109. The cubic root of 48105577 is about 363.6903764219.

It can be divided in two parts, 48 and 105577, that added together give a square (105625 = 325²).

The spelling of 48105577 in words is "forty-eight million, one hundred five thousand, five hundred seventy-seven".