106611672 has 32 divisors (see below), whose sum is σ = 267894000. Its totient is φ = 35355264.

The previous prime is 106611653. The next prime is 106611677. The reversal of 106611672 is 276116601.

It is a super-2 number, since 2×106611672² = 22732097213271168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106611677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6547 + ... + 16002.

Almost surely, 2^106611672 is an apocalyptic number.

106611672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106611672 is an abundant number, since it is smaller than the sum of its proper divisors (161282328).

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

106611672 is a wasteful number, since it uses less digits than its factorization.

106611672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22755 (or 22751 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 106611672 is about 10325.2928287773. The cubic root of 106611672 is about 474.1709223535.

The spelling of 106611672 in words is "one hundred six million, six hundred eleven thousand, six hundred seventy-two".