106103808 has 132 divisors (see below), whose sum is σ = 317735340. Its totient is φ = 34062336.

The previous prime is 106103759. The next prime is 106103819. The reversal of 106103808 is 808301601.

106103808 is a `hidden beast` number, since 10 + 610 + 38 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 42614784 = 7968^2 + 6528^2 .

It is a super-2 number, since 2×106103808² = 22516036144201728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267066 + ... + 267462.

Almost surely, 2^106103808 is an apocalyptic number.

106103808 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 106103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158867670).

106103808 is an abundant number, since it is smaller than the sum of its proper divisors (211631532).

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

106103808 is a wasteful number, since it uses less digits than its factorization.

106103808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106103808 is about 10300.6702694533. The cubic root of 106103808 is about 473.4167905917.

The spelling of 106103808 in words is "one hundred six million, one hundred three thousand, eight hundred eight".