106349688 has 144 divisors (see below), whose sum is σ = 323271000. Its totient is φ = 31491072.

The previous prime is 106349687. The next prime is 106349689. The reversal of 106349688 is 886943601.

106349688 is a `hidden beast` number, since 1 + 0 + 634 + 9 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106349687) and next prime (106349689).

It is a super-2 number, since 2×106349688² = 22620512275394688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106349687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395218 + ... + 395486.

Almost surely, 2^106349688 is an apocalyptic number.

106349688 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 106349688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161635500).

106349688 is an abundant number, since it is smaller than the sum of its proper divisors (216921312).

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

106349688 is a wasteful number, since it uses less digits than its factorization.

106349688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106349688 is about 10312.5985086204. The cubic root of 106349688 is about 473.7821997825.

The spelling of 106349688 in words is "one hundred six million, three hundred forty-nine thousand, six hundred eighty-eight".