106360000 has 70 divisors (see below), whose sum is σ = 263837420. Its totient is φ = 42528000.

The previous prime is 106359997. The next prime is 106360003. The reversal of 106360000 is 63601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106359997) and next prime (106360003).

It is a super-2 number, since 2×106360000² = 22624899200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (106360003) 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 9 ways as a sum of consecutive naturals, for example, 38671 + ... + 41329.

It is an arithmetic number, because the mean of its divisors is an integer number (3769106).

Almost surely, 2^106360000 is an apocalyptic number.

106360000 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 106360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131918710).

106360000 is an abundant number, since it is smaller than the sum of its proper divisors (157477420).

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

106360000 is an frugal number, since it uses more digits than its factorization.

106360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 106360000 is about 10313.0984674830. The cubic root of 106360000 is about 473.7975124247.

The spelling of 106360000 in words is "one hundred six million, three hundred sixty thousand".