106839672 has 16 divisors (see below), whose sum is σ = 267099240. Its totient is φ = 35613216.

The previous prime is 106839659. The next prime is 106839701. The reversal of 106839672 is 276938601.

It is a happy number.

It is a super-3 number, since 3×106839672³ (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 an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2225803 + ... + 2225850.

Almost surely, 2^106839672 is an apocalyptic number.

106839672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106839672 is an abundant number, since it is smaller than the sum of its proper divisors (160259568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106839672 is a wasteful number, since it uses less digits than its factorization.

106839672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451662 (or 4451658 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 106839672 is about 10336.3277811803. The cubic root of 106839672 is about 474.5087027325.

The spelling of 106839672 in words is "one hundred six million, eight hundred thirty-nine thousand, six hundred seventy-two".