106538168 has 32 divisors (see below), whose sum is σ = 229392000. Its totient is φ = 45876960.

The previous prime is 106538119. The next prime is 106538197. The reversal of 106538168 is 861835601.

It is a happy number.

It is a super-2 number, since 2×106538168² = 22700762481592448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30188 + ... + 33531.

It is an arithmetic number, because the mean of its divisors is an integer number (7168500).

Almost surely, 2^106538168 is an apocalyptic number.

It is an amenable number.

106538168 is an abundant number, since it is smaller than the sum of its proper divisors (122853832).

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

106538168 is a wasteful number, since it uses less digits than its factorization.

106538168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63755 (or 63751 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 106538168 is about 10321.7328002618. The cubic root of 106538168 is about 474.0619240551.

The spelling of 106538168 in words is "one hundred six million, five hundred thirty-eight thousand, one hundred sixty-eight".