106146672 has 40 divisors (see below), whose sum is σ = 277977744. Its totient is φ = 34896384.

The previous prime is 106146653. The next prime is 106146683. The reversal of 106146672 is 276641601.

It is a super-2 number, since 2×106146672² = 22534231953351168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11643 + ... + 18650.

Almost surely, 2^106146672 is an apocalyptic number.

106146672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106146672 is an abundant number, since it is smaller than the sum of its proper divisors (171831072).

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

106146672 is a wasteful number, since it uses less digits than its factorization.

106146672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30377 (or 30371 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106146672 is about 10302.7507006624. The cubic root of 106146672 is about 473.4805325871.

The spelling of 106146672 in words is "one hundred six million, one hundred forty-six thousand, six hundred seventy-two".