106814808 has 128 divisors (see below), whose sum is σ = 330912000. Its totient is φ = 31726080.

The previous prime is 106814777. The next prime is 106814821. The reversal of 106814808 is 808418601.

It is a super-2 number, since 2×106814808² = 22818806416153728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69003 + ... + 70533.

It is an arithmetic number, because the mean of its divisors is an integer number (2585250).

Almost surely, 2^106814808 is an apocalyptic number.

106814808 is a gapful number since it is divisible by the number (18) 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 106814808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165456000).

106814808 is an abundant number, since it is smaller than the sum of its proper divisors (224097192).

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

106814808 is a wasteful number, since it uses less digits than its factorization.

106814808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 106814808 is about 10335.1249629601. The cubic root of 106814808 is about 474.4718902529.

It can be divided in two parts, 1068 and 14808, that added together give a square (15876 = 126²).

The spelling of 106814808 in words is "one hundred six million, eight hundred fourteen thousand, eight hundred eight".