106151808 has 256 divisors, whose sum is σ = 359562240. Its totient is φ = 27033600.

The previous prime is 106151777. The next prime is 106151819. The reversal of 106151808 is 808151601.

It is a happy number.

It is a Cunningham number, because it is equal to 10303²-1.

It is a super-2 number, since 2×106151808² = 22536412683337728, 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 31 ways as a sum of consecutive naturals, for example, 1050958 + ... + 1051058.

It is an arithmetic number, because the mean of its divisors is an integer number (1404540).

Almost surely, 2^106151808 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 106151808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781120).

106151808 is an abundant number, since it is smaller than the sum of its proper divisors (253410432).

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

106151808 is a wasteful number, since it uses less digits than its factorization.

106151808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 106151808 is about 10302.9999514704. Note that the first 4 decimals coincide. The cubic root of 106151808 is about 473.4881690545.

The spelling of 106151808 in words is "one hundred six million, one hundred fifty-one thousand, eight hundred eight".