106408047 has 32 divisors (see below), whose sum is σ = 153031680. Its totient is φ = 65636480.

The previous prime is 106408021. The next prime is 106408063. The reversal of 106408047 is 740804601.

It is a cyclic number.

It is not a de Polignac number, because 106408047 - 2¹⁰ = 106407023 is a prime.

It is a super-2 number, since 2×106408047² = 22645344932708418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106408067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216472 + ... + 216962.

It is an arithmetic number, because the mean of its divisors is an integer number (4782240).

Almost surely, 2^106408047 is an apocalyptic number.

106408047 is a deficient number, since it is larger than the sum of its proper divisors (46623633).

106408047 is a wasteful number, since it uses less digits than its factorization.

106408047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106408047 is about 10315.4276208018. The cubic root of 106408047 is about 473.8688460152.

The spelling of 106408047 in words is "one hundred six million, four hundred eight thousand, forty-seven".