1023440342100 has 144 divisors (see below), whose sum is σ = 3247089464640. Its totient is φ = 246821068800.

The previous prime is 1023440342063. The next prime is 1023440342131. The reversal of 1023440342100 is 12430443201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 166555 + ... + 1440354.

Almost surely, 2^{1023440342100} is an apocalyptic number.

1023440342100 is a gapful number since it is divisible by the number (10) 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 1023440342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623544732320).

1023440342100 is an abundant number, since it is smaller than the sum of its proper divisors (2223649122540).

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

1023440342100 is a wasteful number, since it uses less digits than its factorization.

1023440342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607130 (or 1607123 counting only the distinct ones).

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

Adding to 1023440342100 its reverse (12430443201), we get a palindrome (1035870785301).

The spelling of 1023440342100 in words is "one trillion, twenty-three billion, four hundred forty million, three hundred forty-two thousand, one hundred".