106403600 has 30 divisors (see below), whose sum is σ = 255635610. Its totient is φ = 42561280.

The previous prime is 106403587. The next prime is 106403603. The reversal of 106403600 is 6304601.

It can be written as a sum of positive squares in 3 ways, for example, as 32855824 + 73547776 = 5732^2 + 8576^2 .

It is a super-2 number, since 2×106403600² = 22643452185920000, 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 (106403603) 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, 132605 + ... + 133404.

It is an arithmetic number, because the mean of its divisors is an integer number (8521187).

Almost surely, 2^106403600 is an apocalyptic number.

106403600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106403600 is an abundant number, since it is smaller than the sum of its proper divisors (149232010).

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

106403600 is a wasteful number, since it uses less digits than its factorization.

106403600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266027 (or 266016 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106403600 is about 10315.2120676213. The cubic root of 106403600 is about 473.8622446218.

The spelling of 106403600 in words is "one hundred six million, four hundred three thousand, six hundred".