106504100 has 18 divisors (see below), whose sum is σ = 231114114. Its totient is φ = 42601600.

The previous prime is 106504091. The next prime is 106504103. The reversal of 106504100 is 1405601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2137444 + 104366656 = 1462^2 + 10216^2 .

It is a super-2 number, since 2×106504100² = 22686246633620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106504103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532421 + ... + 532620.

It is an arithmetic number, because the mean of its divisors is an integer number (12839673).

Almost surely, 2^106504100 is an apocalyptic number.

106504100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106504100 is an abundant number, since it is smaller than the sum of its proper divisors (124610014).

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

106504100 is a wasteful number, since it uses less digits than its factorization.

106504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065055 (or 1065048 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 106504100 is about 10320.0823640124. The cubic root of 106504100 is about 474.0113879773.

Adding to 106504100 its reverse (1405601), we get a palindrome (107909701).

The spelling of 106504100 in words is "one hundred six million, five hundred four thousand, one hundred".