106415300 has 18 divisors (see below), whose sum is σ = 230921418. Its totient is φ = 42566080.

The previous prime is 106415299. The next prime is 106415303. The reversal of 106415300 is 3514601.

It can be written as a sum of positive squares in 3 ways, for example, as 13601344 + 92813956 = 3688^2 + 9634^2 .

It is a super-2 number, since 2×106415300² = 22648432148180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (106415303) 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 5 ways as a sum of consecutive naturals, for example, 531977 + ... + 532176.

Almost surely, 2^106415300 is an apocalyptic number.

106415300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106415300 is an abundant number, since it is smaller than the sum of its proper divisors (124506118).

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

106415300 is a wasteful number, since it uses less digits than its factorization.

106415300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064167 (or 1064160 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106415300 is about 10315.7791756125. The cubic root of 106415300 is about 473.8796124085.

Adding to 106415300 its reverse (3514601), we get a palindrome (109929901).

The spelling of 106415300 in words is "one hundred six million, four hundred fifteen thousand, three hundred".