102034044200 has 192 divisors, whose sum is σ = 274435024320. Its totient is φ = 34867712000.

The previous prime is 102034044157. The next prime is 102034044253. The reversal of 102034044200 is 2440430201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30703739 + ... + 30707061.

It is an arithmetic number, because the mean of its divisors is an integer number (1429349085).

Almost surely, 2^102034044200 is an apocalyptic number.

102034044200 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 102034044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137217512160).

102034044200 is an abundant number, since it is smaller than the sum of its proper divisors (172400980120).

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

102034044200 is a wasteful number, since it uses less digits than its factorization.

102034044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102034044200 its reverse (2440430201), we get a palindrome (104474474401).

The spelling of 102034044200 in words is "one hundred two billion, thirty-four million, forty-four thousand, two hundred".