106653872 has 30 divisors (see below), whose sum is σ = 223765812. Its totient is φ = 49223616.

The previous prime is 106653863. The next prime is 106653913. The reversal of 106653872 is 278356601.

It is a super-2 number, since 2×106653872² = 22750096825184768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17018 + ... + 22425.

Almost surely, 2^106653872 is an apocalyptic number.

It is an amenable number.

106653872 is an abundant number, since it is smaller than the sum of its proper divisors (117111940).

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

106653872 is a wasteful number, since it uses less digits than its factorization.

106653872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39477 (or 39458 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 106653872 is about 10327.3361521740. The cubic root of 106653872 is about 474.2334776470.

The spelling of 106653872 in words is "one hundred six million, six hundred fifty-three thousand, eight hundred seventy-two".