105502120 has 16 divisors (see below), whose sum is σ = 237379860. Its totient is φ = 42200832.

The previous prime is 105502093. The next prime is 105502121. The reversal of 105502120 is 21205501.

It can be written as a sum of positive squares in 2 ways, for example, as 105144516 + 357604 = 10254^2 + 598^2 .

It is a super-2 number, since 2×105502120² = 22261394648988800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105502094 and 105502103.

It is not an unprimeable number, because it can be changed into a prime (105502121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1318737 + ... + 1318816.

Almost surely, 2^105502120 is an apocalyptic number.

105502120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105502120 is an abundant number, since it is smaller than the sum of its proper divisors (131877740).

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

105502120 is a wasteful number, since it uses less digits than its factorization.

105502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637564 (or 2637560 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105502120 is about 10271.4224915539. The cubic root of 105502120 is about 472.5202178671.

Adding to 105502120 its reverse (21205501), we get a palindrome (126707621).

The spelling of 105502120 in words is "one hundred five million, five hundred two thousand, one hundred twenty".