105530100 has 72 divisors (see below), whose sum is σ = 328833120. Its totient is φ = 25975680.

The previous prime is 105530081. The next prime is 105530129. The reversal of 105530100 is 1035501.

It is a super-2 number, since 2×105530100² = 22273204012020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105530100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9630 + ... + 17429.

Almost surely, 2^105530100 is an apocalyptic number.

105530100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105530100 is an abundant number, since it is smaller than the sum of its proper divisors (223303020).

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

105530100 is a wasteful number, since it uses less digits than its factorization.

105530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27089 (or 27082 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105530100 is about 10272.7844326648. The cubic root of 105530100 is about 472.5619862129.

Adding to 105530100 its reverse (1035501), we get a palindrome (106565601).

The spelling of 105530100 in words is "one hundred five million, five hundred thirty thousand, one hundred".