106299000 has 256 divisors, whose sum is σ = 383385600. Its totient is φ = 27216000.

The previous prime is 106298993. The next prime is 106299001. The reversal of 106299000 is 992601.

It is a happy number.

It is a super-2 number, since 2×106299000² = 22598954802000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106299001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836937 + ... + 837063.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 2^106299000 is an apocalyptic number.

106299000 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 106299000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191692800).

106299000 is an abundant number, since it is smaller than the sum of its proper divisors (277086600).

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

106299000 is a wasteful number, since it uses less digits than its factorization.

106299000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106299000 is about 10310.1406391960. The cubic root of 106299000 is about 473.7069170402.

The spelling of 106299000 in words is "one hundred six million, two hundred ninety-nine thousand".