10199952 has 80 divisors (see below), whose sum is σ = 33470080. Its totient is φ = 2913408.

The previous prime is 10199923. The next prime is 10199963. The reversal of 10199952 is 25999101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338 + ... + 4710.

It is an arithmetic number, because the mean of its divisors is an integer number (418376).

Almost surely, 2^10199952 is an apocalyptic number.

10199952 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 10199952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735040).

10199952 is an abundant number, since it is smaller than the sum of its proper divisors (23270128).

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

10199952 is a wasteful number, since it uses less digits than its factorization.

10199952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 10199952 is about 3193.7363698339. The cubic root of 10199952 is about 216.8699483358.

The spelling of 10199952 in words is "ten million, one hundred ninety-nine thousand, nine hundred fifty-two".