10145124 has 108 divisors (see below), whose sum is σ = 30063852. Its totient is φ = 2872320.

The previous prime is 10145123. The next prime is 10145129. The reversal of 10145124 is 42154101.

10145124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 3175524 = 2640^2 + 1782^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10145097 and 10145106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73984 + ... + 74120.

It is an arithmetic number, because the mean of its divisors is an integer number (278369).

Almost surely, 2^10145124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031926).

10145124 is an abundant number, since it is smaller than the sum of its proper divisors (19918728).

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

10145124 is a wasteful number, since it uses less digits than its factorization.

10145124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10145124 is about 3185.1411271716. The cubic root of 10145124 is about 216.4806682510.

Adding to 10145124 its reverse (42154101), we get a palindrome (52299225).

It can be divided in two parts, 101451 and 24, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 10145124 in words is "ten million, one hundred forty-five thousand, one hundred twenty-four".