106306600 has 48 divisors (see below), whose sum is σ = 247913820. Its totient is φ = 42393600.

The previous prime is 106306561. The next prime is 106306601. The reversal of 106306600 is 6603601.

It can be written as a sum of positive squares in 6 ways, for example, as 44809636 + 61496964 = 6694^2 + 7842^2 .

It is a super-2 number, since 2×106306600² = 22602186407120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106306601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91624 + ... + 92776.

Almost surely, 2^106306600 is an apocalyptic number.

106306600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106306600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123956910).

106306600 is an abundant number, since it is smaller than the sum of its proper divisors (141607220).

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

106306600 is a wasteful number, since it uses less digits than its factorization.

106306600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 106306600 is about 10310.5092017805. The cubic root of 106306600 is about 473.7182062237.

The spelling of 106306600 in words is "one hundred six million, three hundred six thousand, six hundred".