10500124152 has 96 divisors (see below), whose sum is σ = 30696606720. Its totient is φ = 2984264640.

The previous prime is 10500124091. The next prime is 10500124177. The reversal of 10500124152 is 25142100501.

It is a super-2 number, since 2×10500124152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201243 + ... + 247989.

It is an arithmetic number, because the mean of its divisors is an integer number (319756320).

Almost surely, 2^10500124152 is an apocalyptic number.

10500124152 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 10500124152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348303360).

10500124152 is an abundant number, since it is smaller than the sum of its proper divisors (20196482568).

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

10500124152 is a wasteful number, since it uses less digits than its factorization.

10500124152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46961 (or 46950 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 10500124152 its reverse (25142100501), we get a palindrome (35642224653).

The spelling of 10500124152 in words is "ten billion, five hundred million, one hundred twenty-four thousand, one hundred fifty-two".