106538766 has 16 divisors (see below), whose sum is σ = 216079488. Its totient is φ = 35012600.

The previous prime is 106538759. The next prime is 106538767. The reversal of 106538766 is 667835601.

It is a super-2 number, since 2×106538766² = 22701017321605512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106538767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124620 + ... + 125471.

It is an arithmetic number, because the mean of its divisors is an integer number (13504968).

Almost surely, 2^106538766 is an apocalyptic number.

106538766 is an abundant number, since it is smaller than the sum of its proper divisors (109540722).

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

106538766 is a wasteful number, since it uses less digits than its factorization.

106538766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250167.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 106538766 is about 10321.7617682254. The cubic root of 106538766 is about 474.0628110251.

The spelling of 106538766 in words is "one hundred six million, five hundred thirty-eight thousand, seven hundred sixty-six".