106138536 has 64 divisors (see below), whose sum is σ = 308254080. Its totient is φ = 29825280.

The previous prime is 106138517. The next prime is 106138547. The reversal of 106138536 is 635831601.

It is a super-2 number, since 2×106138536² = 22530777648446592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106138497 and 106138506.

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 15 ways as a sum of consecutive naturals, for example, 5070 + ... + 15426.

It is an arithmetic number, because the mean of its divisors is an integer number (4816470).

Almost surely, 2^106138536 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 106138536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154127040).

106138536 is an abundant number, since it is smaller than the sum of its proper divisors (202115544).

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

106138536 is a wasteful number, since it uses less digits than its factorization.

106138536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10430 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 106138536 is about 10302.3558470866. The cubic root of 106138536 is about 473.4684350621.

The spelling of 106138536 in words is "one hundred six million, one hundred thirty-eight thousand, five hundred thirty-six".