10201248 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3400128.

The previous prime is 10201231. The next prime is 10201267. The reversal of 10201248 is 84210201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10201248.

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, 5040 + ... + 6767.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^10201248 is an apocalyptic number.

10201248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10201248 is an abundant number, since it is smaller than the sum of its proper divisors (19554912).

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

10201248 is a wasteful number, since it uses less digits than its factorization.

10201248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10201248 is about 3193.9392605371. The cubic root of 10201248 is about 216.8791330702.

Adding to 10201248 its reverse (84210201), we get a palindrome (94411449).

The spelling of 10201248 in words is "ten million, two hundred one thousand, two hundred forty-eight".