105277248 has 42 divisors (see below), whose sum is σ = 301759874. Its totient is φ = 35092224.

The previous prime is 105277231. The next prime is 105277297. The reversal of 105277248 is 842772501.

It can be written as a sum of positive squares in only one way, i.e., 103063104 + 2214144 = 10152^2 + 1488^2 .

It is a super-2 number, since 2×105277248² = 22166597892907008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 90811 + ... + 91962.

Almost surely, 2^105277248 is an apocalyptic number.

105277248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105277248 is an abundant number, since it is smaller than the sum of its proper divisors (196482626).

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

105277248 is a wasteful number, since it uses less digits than its factorization.

105277248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182791 (or 182778 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 105277248 is about 10260.4701646659. The cubic root of 105277248 is about 472.1842620610.

The spelling of 105277248 in words is "one hundred five million, two hundred seventy-seven thousand, two hundred forty-eight".