105525363060 has 120 divisors (see below), whose sum is σ = 356501425896. Its totient is φ = 25975468800.

The previous prime is 105525363059. The next prime is 105525363061. The reversal of 105525363060 is 60363525501.

105525363060 is a `hidden beast` number, since 10 + 5 + 5 + 2 + 5 + 3 + 630 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105525363059) and next prime (105525363061).

It can be written as a sum of positive squares in 4 ways, for example, as 1178274276 + 104347088784 = 34326^2 + 323028^2 .

It is a super-2 number, since 2×105525363060² (a number of 23 digits) 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 not an unprimeable number, because it can be changed into a prime (105525363061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2484291 + ... + 2526410.

Almost surely, 2^105525363060 is an apocalyptic number.

105525363060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105525363060 is an abundant number, since it is smaller than the sum of its proper divisors (250976062836).

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

105525363060 is a wasteful number, since it uses less digits than its factorization.

105525363060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010735 (or 5010724 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 105525363060 its reverse (60363525501), we get a palindrome (165888888561).

The spelling of 105525363060 in words is "one hundred five billion, five hundred twenty-five million, three hundred sixty-three thousand, sixty".