106249672 has 32 divisors (see below), whose sum is σ = 212853600. Its totient is φ = 49572864.

The previous prime is 106249669. The next prime is 106249687. The reversal of 106249672 is 276942601.

It is a super-2 number, since 2×106249672² = 22577985600215168, which contains 22 as substring.

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, 4968 + ... + 15400.

It is an arithmetic number, because the mean of its divisors is an integer number (6651675).

Almost surely, 2^106249672 is an apocalyptic number.

It is an amenable number.

106249672 is an abundant number, since it is smaller than the sum of its proper divisors (106603928).

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

106249672 is a wasteful number, since it uses less digits than its factorization.

106249672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10525 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 106249672 is about 10307.7481536949. The cubic root of 106249672 is about 473.6336312137.

The spelling of 106249672 in words is "one hundred six million, two hundred forty-nine thousand, six hundred seventy-two".