106167200 has 36 divisors (see below), whose sum is σ = 259182630. Its totient is φ = 42466560.

The previous prime is 106167197. The next prime is 106167211. The reversal of 106167200 is 2761601.

It can be written as a sum of positive squares in 3 ways, for example, as 90706576 + 15460624 = 9524^2 + 3932^2 .

It is a super-2 number, since 2×106167200² = 22542948711680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65555 + ... + 67154.

Almost surely, 2^106167200 is an apocalyptic number.

106167200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106167200 is an abundant number, since it is smaller than the sum of its proper divisors (153015430).

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

106167200 is a wasteful number, since it uses less digits than its factorization.

106167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132729 (or 132716 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106167200 is about 10303.7468913012. The cubic root of 106167200 is about 473.5110531919.

The spelling of 106167200 in words is "one hundred six million, one hundred sixty-seven thousand, two hundred".