106084650 has 96 divisors (see below), whose sum is σ = 305123328. Its totient is φ = 23889600.

The previous prime is 106084637. The next prime is 106084703. The reversal of 106084650 is 56480601.

It is a super-2 number, since 2×106084650² = 22507905931245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 73839 + ... + 75261.

It is an arithmetic number, because the mean of its divisors is an integer number (3178368).

Almost surely, 2^106084650 is an apocalyptic number.

106084650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106084650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152561664).

106084650 is an abundant number, since it is smaller than the sum of its proper divisors (199038678).

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

106084650 is a wasteful number, since it uses less digits than its factorization.

106084650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106084650 is about 10299.7402879878. The cubic root of 106084650 is about 473.3882956521.

The spelling of 106084650 in words is "one hundred six million, eighty-four thousand, six hundred fifty".