102045544000000 has 140 divisors (see below), whose sum is σ = 254861483082822. Its totient is φ = 40818214400000.

The previous prime is 102045543999989. The next prime is 102045544000003. The reversal of 102045544000000 is 445540201.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 58737141248256 + 43308402751744 = 7664016^2 + 6580912^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (102045544000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1622154 + ... + 14377846.

Almost surely, 2^{102045544000000} is an apocalyptic number.

102045544000000 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 102045544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127430741541411).

102045544000000 is an abundant number, since it is smaller than the sum of its proper divisors (152815939082822).

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

102045544000000 is an frugal number, since it uses more digits than its factorization.

102045544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755741 (or 12755700 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 102045544000000 its reverse (445540201), we get a palindrome (102045989540201).

The spelling of 102045544000000 in words is "one hundred two trillion, forty-five billion, five hundred forty-four million", and thus it is an aban number.