106353808 has 80 divisors (see below), whose sum is σ = 235556352. Its totient is φ = 46080000.

The previous prime is 106353743. The next prime is 106353823. The reversal of 106353808 is 808353601.

It is a happy number.

It is a super-2 number, since 2×106353808² = 22622264952201728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550960 + ... + 551152.

Almost surely, 2^106353808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106353808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117778176).

106353808 is an abundant number, since it is smaller than the sum of its proper divisors (129202544).

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

106353808 is a wasteful number, since it uses less digits than its factorization.

106353808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 106353808 is about 10312.7982623534. The cubic root of 106353808 is about 473.7883178304.

The spelling of 106353808 in words is "one hundred six million, three hundred fifty-three thousand, eight hundred eight".