10142496 has 240 divisors, whose sum is σ = 37566144. Its totient is φ = 2612736.

The previous prime is 10142491. The next prime is 10142501. The reversal of 10142496 is 69424101.

10142496 = 100³ + 101³ + ... + 108³.

It is an interprime number because it is at equal distance from previous prime (10142491) and next prime (10142501).

It is a super-2 number, since 2×10142496² = 205740450220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10142491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235851 + ... + 235893.

Almost surely, 2^10142496 is an apocalyptic number.

10142496 is a gapful number since it is divisible by the number (16) 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 10142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783072).

10142496 is an abundant number, since it is smaller than the sum of its proper divisors (27423648).

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

10142496 is a wasteful number, since it uses less digits than its factorization.

10142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10142496 is about 3184.7285598619. The cubic root of 10142496 is about 216.4619742022.

Adding to 10142496 its reverse (69424101), we get a palindrome (79566597).

The spelling of 10142496 in words is "ten million, one hundred forty-two thousand, four hundred ninety-six".