10675200 has 132 divisors (see below), whose sum is σ = 35535920. Its totient is φ = 2826240.

The previous prime is 10675187. The next prime is 10675213. The reversal of 10675200 is 257601.

It is an interprime number because it is at equal distance from previous prime (10675187) and next prime (10675213).

It is a super-2 number, since 2×10675200² = 227919790080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76731 + ... + 76869.

Almost surely, 2^10675200 is an apocalyptic number.

10675200 is a gapful number since it is divisible by the number (10) 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 10675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767960).

10675200 is an abundant number, since it is smaller than the sum of its proper divisors (24860720).

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

10675200 is a wasteful number, since it uses less digits than its factorization.

10675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10675200 is about 3267.2924570659. The cubic root of 10675200 is about 220.1871685419.

The spelling of 10675200 in words is "ten million, six hundred seventy-five thousand, two hundred".