106138629 has 12 divisors (see below), whose sum is σ = 159977376. Its totient is φ = 67682472.

The previous prime is 106138619. The next prime is 106138631. The reversal of 106138629 is 926831601.

106138629 is a `hidden beast` number, since 10 + 6 + 13 + 8 + 629 = 666.

It is not a de Polignac number, because 106138629 - 2¹² = 106134533 is a prime.

It is a super-2 number, since 2×106138629² = 22530817131999282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106138593 and 106138602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106138609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256167 + ... + 256580.

It is an arithmetic number, because the mean of its divisors is an integer number (13331448).

Almost surely, 2^106138629 is an apocalyptic number.

It is an amenable number.

106138629 is a deficient number, since it is larger than the sum of its proper divisors (53838747).

106138629 is a wasteful number, since it uses less digits than its factorization.

106138629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512776 (or 512773 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106138629 is about 10302.3603606164. The cubic root of 106138629 is about 473.4685733485.

The spelling of 106138629 in words is "one hundred six million, one hundred thirty-eight thousand, six hundred twenty-nine".