10102460144 has 30 divisors (see below), whose sum is σ = 22769194464. Its totient is φ = 4329625440.

The previous prime is 10102460143. The next prime is 10102460219. The reversal of 10102460144 is 44106420101.

It is a happy number.

10102460144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10102460144² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102460143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6442112 + ... + 6443679.

Almost surely, 2^10102460144 is an apocalyptic number.

10102460144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10102460144 is an abundant number, since it is smaller than the sum of its proper divisors (12666734320).

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

10102460144 is a wasteful number, since it uses less digits than its factorization.

10102460144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12885813 (or 12885800 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10102460144 its reverse (44106420101), we get a palindrome (54208880245).

The spelling of 10102460144 in words is "ten billion, one hundred two million, four hundred sixty thousand, one hundred forty-four".