106384698 has 64 divisors (see below), whose sum is σ = 271584000. Its totient is φ = 30238272.

The previous prime is 106384697. The next prime is 106384699. The reversal of 106384698 is 896483601.

106384698 is a `hidden beast` number, since 1 + 0 + 638 + 4 + 6 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106384697) and next prime (106384699).

It is a super-2 number, since 2×106384698² = 22635407937102408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106384693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85948 + ... + 87176.

It is an arithmetic number, because the mean of its divisors is an integer number (4243500).

Almost surely, 2^106384698 is an apocalyptic number.

106384698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106384698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135792000).

106384698 is an abundant number, since it is smaller than the sum of its proper divisors (165199302).

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

106384698 is a wasteful number, since it uses less digits than its factorization.

106384698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106384698 is about 10314.2958072764. The cubic root of 106384698 is about 473.8341833075.

The spelling of 106384698 in words is "one hundred six million, three hundred eighty-four thousand, six hundred ninety-eight".