106167672 has 96 divisors (see below), whose sum is σ = 321200880. Its totient is φ = 32659200.

The previous prime is 106167631. The next prime is 106167683. The reversal of 106167672 is 276761601.

It is a super-2 number, since 2×106167672² = 22543149155799168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23172 + ... + 27372.

Almost surely, 2^106167672 is an apocalyptic number.

106167672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106167672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160600440).

106167672 is an abundant number, since it is smaller than the sum of its proper divisors (215033208).

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

106167672 is a wasteful number, since it uses less digits than its factorization.

106167672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106167672 is about 10303.7697955651. The cubic root of 106167672 is about 473.5117549054.

The spelling of 106167672 in words is "one hundred six million, one hundred sixty-seven thousand, six hundred seventy-two".