106138527 has 16 divisors (see below), whose sum is σ = 155755008. Its totient is φ = 63754880.

The previous prime is 106138517. The next prime is 106138547. The reversal of 106138527 is 725831601.

It is a cyclic number.

It is not a de Polignac number, because 106138527 - 2¹⁰ = 106137503 is a prime.

It is a super-2 number, since 2×106138527² = 22530773827459458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106138517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10503 + ... + 17960.

It is an arithmetic number, because the mean of its divisors is an integer number (9734688).

Almost surely, 2^106138527 is an apocalyptic number.

106138527 is a deficient number, since it is larger than the sum of its proper divisors (49616481).

106138527 is a wasteful number, since it uses less digits than its factorization.

106138527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28590.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 106138527 is about 10302.3554102933. The cubic root of 106138527 is about 473.4684216796.

The spelling of 106138527 in words is "one hundred six million, one hundred thirty-eight thousand, five hundred twenty-seven".