10069152 has 48 divisors (see below), whose sum is σ = 26943840. Its totient is φ = 3291392.

The previous prime is 10069121. The next prime is 10069153. The reversal of 10069152 is 25196001.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (10069153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4099 + ... + 6077.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 2^10069152 is an apocalyptic number.

10069152 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 10069152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471920).

10069152 is an abundant number, since it is smaller than the sum of its proper divisors (16874688).

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

10069152 is a wasteful number, since it uses less digits than its factorization.

10069152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 10069152 is about 3173.1927139712. The cubic root of 10069152 is about 215.9389402170.

The spelling of 10069152 in words is "ten million, sixty-nine thousand, one hundred fifty-two".