10100142 has 48 divisors (see below), whose sum is σ = 24963120. Its totient is φ = 2923776.

The previous prime is 10100131. The next prime is 10100147. The reversal of 10100142 is 24100101.

It is a happy number.

It is a super-3 number, since 3×10100142³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100147) 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 23 ways as a sum of consecutive naturals, for example, 2709 + ... + 5247.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 2^10100142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481560).

10100142 is an abundant number, since it is smaller than the sum of its proper divisors (14862978).

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

10100142 is a wasteful number, since it uses less digits than its factorization.

10100142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10100142 is about 3178.0720570811. The cubic root of 10100142 is about 216.1602463132.

Adding to 10100142 its reverse (24100101), we get a palindrome (34200243).

The spelling of 10100142 in words is "ten million, one hundred thousand, one hundred forty-two".