106539768 has 48 divisors (see below), whose sum is σ = 290511000. Its totient is φ = 35271360.

The previous prime is 106539751. The next prime is 106539779. The reversal of 106539768 is 867935601.

It is a happy number.

106539768 is a `hidden beast` number, since 106 + 539 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×106539768² = 22701444330987648, 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 11 ways as a sum of consecutive naturals, for example, 5763 + ... + 15693.

Almost surely, 2^106539768 is an apocalyptic number.

106539768 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 106539768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145255500).

106539768 is an abundant number, since it is smaller than the sum of its proper divisors (183971232).

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

106539768 is a wasteful number, since it uses less digits than its factorization.

106539768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106539768 is about 10321.8103063368. The cubic root of 106539768 is about 474.0642972117.

The spelling of 106539768 in words is "one hundred six million, five hundred thirty-nine thousand, seven hundred sixty-eight".