10148832 has 72 divisors (see below), whose sum is σ = 29189160. Its totient is φ = 3344640.

The previous prime is 10148821. The next prime is 10148833. The reversal of 10148832 is 23884101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10148796 and 10148805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10148833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37594 + ... + 37862.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 2^10148832 is an apocalyptic number.

10148832 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 10148832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594580).

10148832 is an abundant number, since it is smaller than the sum of its proper divisors (19040328).

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

10148832 is a wasteful number, since it uses less digits than its factorization.

10148832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10148832 is about 3185.7231518134. The cubic root of 10148832 is about 216.5070392952.

The spelling of 10148832 in words is "ten million, one hundred forty-eight thousand, eight hundred thirty-two".