103144200104000 has 896 divisors, whose sum is σ = 291985335442944. Its totient is φ = 35765452800000.

The previous prime is 103144200103993. The next prime is 103144200104009. The reversal of 103144200104000 is 401002441301.

It is a super-2 number, since 2×103144200104000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103144200104009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27899430152 + ... + 27899433848.

Almost surely, 2^{103144200104000} is an apocalyptic number.

103144200104000 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 103144200104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145992667721472).

103144200104000 is an abundant number, since it is smaller than the sum of its proper divisors (188841135338944).

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

103144200104000 is a wasteful number, since it uses less digits than its factorization.

103144200104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 103144200104000 its reverse (401002441301), we get a palindrome (103545202545301).

The spelling of 103144200104000 in words is "one hundred three trillion, one hundred forty-four billion, two hundred million, one hundred four thousand".