10162152 has 256 divisors, whose sum is σ = 38707200. Its totient is φ = 2384640.

The previous prime is 10162133. The next prime is 10162153. The reversal of 10162152 is 25126101.

It is a super-2 number, since 2×10162152² = 206538666542208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10162153) 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 63 ways as a sum of consecutive naturals, for example, 216193 + ... + 216239.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^10162152 is an apocalyptic number.

10162152 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 10162152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

10162152 is an abundant number, since it is smaller than the sum of its proper divisors (28545048).

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

10162152 is a wasteful number, since it uses less digits than its factorization.

10162152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10162152 is about 3187.8130434516. The cubic root of 10162152 is about 216.6017172844.

Adding to 10162152 its reverse (25126101), we get a palindrome (35288253).

The spelling of 10162152 in words is "ten million, one hundred sixty-two thousand, one hundred fifty-two".