103577552 has 20 divisors (see below), whose sum is σ = 216118980. Its totient is φ = 47804928.

The previous prime is 103577543. The next prime is 103577557. The reversal of 103577552 is 255775301.

It can be written as a sum of positive squares in 2 ways, for example, as 22505536 + 81072016 = 4744^2 + 9004^2 .

It is a super-3 number, since 3×103577552³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103577557) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248777 + ... + 249192.

It is an arithmetic number, because the mean of its divisors is an integer number (10805949).

Almost surely, 2^103577552 is an apocalyptic number.

It is an amenable number.

103577552 is an abundant number, since it is smaller than the sum of its proper divisors (112541428).

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

103577552 is a wasteful number, since it uses less digits than its factorization.

103577552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497990 (or 497984 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 35.

The square root of 103577552 is about 10177.3057338374. The cubic root of 103577552 is about 469.6293320120.

It can be divided in two parts, 1035 and 77552, that added together give a palindrome (78587).

The spelling of 103577552 in words is "one hundred three million, five hundred seventy-seven thousand, five hundred fifty-two".