10102444000 has 96 divisors (see below), whose sum is σ = 27078341472. Its totient is φ = 3673600000.

The previous prime is 10102443971. The next prime is 10102444061. The reversal of 10102444000 is 44420101.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 70801 + ... + 158800.

It is an arithmetic number, because the mean of its divisors is an integer number (282066057).

Almost surely, 2^10102444000 is an apocalyptic number.

10102444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102444000 is an abundant number, since it is smaller than the sum of its proper divisors (16975897472).

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

10102444000 is a wasteful number, since it uses less digits than its factorization.

10102444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229637 (or 229619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10102444000 its reverse (44420101), we get a palindrome (10146864101).

The spelling of 10102444000 in words is "ten billion, one hundred two million, four hundred forty-four thousand".