106026600 has 48 divisors (see below), whose sum is σ = 328684320. Its totient is φ = 28273600.

The previous prime is 106026577. The next prime is 106026623. The reversal of 106026600 is 6620601.

It is an interprime number because it is at equal distance from previous prime (106026577) and next prime (106026623).

It is a super-2 number, since 2×106026600² = 22483279815120000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87756 + ... + 88955.

It is an arithmetic number, because the mean of its divisors is an integer number (6847590).

Almost surely, 2^106026600 is an apocalyptic number.

106026600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106026600 is an abundant number, since it is smaller than the sum of its proper divisors (222657720).

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

106026600 is a wasteful number, since it uses less digits than its factorization.

106026600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176730 (or 176721 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106026600 is about 10296.9218701513. The cubic root of 106026600 is about 473.3019331591.

The spelling of 106026600 in words is "one hundred six million, twenty-six thousand, six hundred".