10142064 has 80 divisors (see below), whose sum is σ = 30846240. Its totient is φ = 3179520.

The previous prime is 10142059. The next prime is 10142071. The reversal of 10142064 is 46024101.

It is a super-2 number, since 2×10142064² = 205722924360192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6654 + ... + 8034.

It is an arithmetic number, because the mean of its divisors is an integer number (385578).

Almost surely, 2^10142064 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 10142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423120).

10142064 is an abundant number, since it is smaller than the sum of its proper divisors (20704176).

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

10142064 is a wasteful number, since it uses less digits than its factorization.

10142064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10142064 is about 3184.6607354630. The cubic root of 10142064 is about 216.4589008989.

Adding to 10142064 its reverse (46024101), we get a palindrome (56166165).

The spelling of 10142064 in words is "ten million, one hundred forty-two thousand, sixty-four".