1023102424032 has 96 divisors (see below), whose sum is σ = 2897763781248. Its totient is φ = 314198631936.

The previous prime is 1023102423971. The next prime is 1023102424037. The reversal of 1023102424032 is 2304242013201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1023102424032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1023102423993 and 1023102424011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023102424037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131038 + ... + 1436445.

It is an arithmetic number, because the mean of its divisors is an integer number (30185039388).

Almost surely, 2^{1023102424032} is an apocalyptic number.

1023102424032 is a gapful number since it is divisible by the number (12) 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 1023102424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448881890624).

1023102424032 is an abundant number, since it is smaller than the sum of its proper divisors (1874661357216).

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

1023102424032 is a wasteful number, since it uses less digits than its factorization.

1023102424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568032 (or 1568024 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1023102424032 its reverse (2304242013201), we get a palindrome (3327344437233).

The spelling of 1023102424032 in words is "one trillion, twenty-three billion, one hundred two million, four hundred twenty-four thousand, thirty-two".