106972839 has 16 divisors (see below), whose sum is σ = 165369600. Its totient is φ = 68214168.

The previous prime is 106972829. The next prime is 106972843. The reversal of 106972839 is 938279601.

It is not a de Polignac number, because 106972839 - 2⁸ = 106972583 is a prime.

It is a super-2 number, since 2×106972839² = 22886376567439842, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106972794 and 106972803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106972829) 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, 85509 + ... + 86750.

It is an arithmetic number, because the mean of its divisors is an integer number (10335600).

Almost surely, 2^106972839 is an apocalyptic number.

106972839 is a deficient number, since it is larger than the sum of its proper divisors (58396761).

106972839 is a wasteful number, since it uses less digits than its factorization.

106972839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172291 (or 172285 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 106972839 is about 10342.7674729736. The cubic root of 106972839 is about 474.7057664390.

The spelling of 106972839 in words is "one hundred six million, nine hundred seventy-two thousand, eight hundred thirty-nine".