106246784 has 96 divisors (see below), whose sum is σ = 257896800. Its totient is φ = 42591744.

The previous prime is 106246757. The next prime is 106246793. The reversal of 106246784 is 487642601.

It is a super-2 number, since 2×106246784² = 22576758220685312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344857 + ... + 1344935.

It is an arithmetic number, because the mean of its divisors is an integer number (2686425).

Almost surely, 2^106246784 is an apocalyptic number.

106246784 is a gapful number since it is divisible by the number (14) 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 106246784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128948400).

106246784 is an abundant number, since it is smaller than the sum of its proper divisors (151650016).

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

106246784 is an frugal number, since it uses more digits than its factorization.

106246784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 106246784 is about 10307.6080639497. The cubic root of 106246784 is about 473.6293398551.

The spelling of 106246784 in words is "one hundred six million, two hundred forty-six thousand, seven hundred eighty-four".