106938471 has 16 divisors (see below), whose sum is σ = 145895904. Its totient is φ = 69648384.

The previous prime is 106938467. The next prime is 106938493. The reversal of 106938471 is 174839601.

It is not a de Polignac number, because 106938471 - 2² = 106938467 is a prime.

It is a super-3 number, since 3×106938471³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106938451) 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, 39555 + ... + 42171.

It is an arithmetic number, because the mean of its divisors is an integer number (9118494).

Almost surely, 2^106938471 is an apocalyptic number.

106938471 is a deficient number, since it is larger than the sum of its proper divisors (38957433).

106938471 is a wasteful number, since it uses less digits than its factorization.

106938471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 106938471 is about 10341.1058886369. The cubic root of 106938471 is about 474.6549235165.

The spelling of 106938471 in words is "one hundred six million, nine hundred thirty-eight thousand, four hundred seventy-one".