106414500 has 96 divisors (see below), whose sum is σ = 315229824. Its totient is φ = 27888000.

The previous prime is 106414499. The next prime is 106414507. The reversal of 106414500 is 5414601.

It is a super-2 number, since 2×106414500² = 22648091620500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106414507) 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 31 ways as a sum of consecutive naturals, for example, 90919 + ... + 92081.

It is an arithmetic number, because the mean of its divisors is an integer number (3283644).

Almost surely, 2^106414500 is an apocalyptic number.

106414500 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 106414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157614912).

106414500 is an abundant number, since it is smaller than the sum of its proper divisors (208815324).

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

106414500 is a wasteful number, since it uses less digits than its factorization.

106414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106414500 is about 10315.7403999907. The cubic root of 106414500 is about 473.8784249080.

The spelling of 106414500 in words is "one hundred six million, four hundred fourteen thousand, five hundred".