106621600 has 36 divisors (see below), whose sum is σ = 260291934. Its totient is φ = 42648320.

The previous prime is 106621591. The next prime is 106621609. The reversal of 106621600 is 6126601.

It is an interprime number because it is at equal distance from previous prime (106621591) and next prime (106621609).

It can be written as a sum of positive squares in 3 ways, for example, as 74857104 + 31764496 = 8652^2 + 5636^2 .

It is a super-2 number, since 2×106621600² = 22736331173120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106621609) 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, 65839 + ... + 67438.

Almost surely, 2^106621600 is an apocalyptic number.

106621600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106621600 is an abundant number, since it is smaller than the sum of its proper divisors (153670334).

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

106621600 is a wasteful number, since it uses less digits than its factorization.

106621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133297 (or 133284 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106621600 is about 10325.7735787688. The cubic root of 106621600 is about 474.1856406381.

The spelling of 106621600 in words is "one hundred six million, six hundred twenty-one thousand, six hundred".