102049063200 has 432 divisors, whose sum is σ = 411847765056. Its totient is φ = 23292057600.

The previous prime is 102049063183. The next prime is 102049063217. The reversal of 102049063200 is 2360940201.

102049063200 is a `hidden beast` number, since 1 + 0 + 20 + 4 + 9 + 0 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102049063183) and next prime (102049063217).

It is a super-3 number, since 3×102049063200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58614330 + ... + 58616070.

It is an arithmetic number, because the mean of its divisors is an integer number (953351308).

Almost surely, 2^102049063200 is an apocalyptic number.

102049063200 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 102049063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205923882528).

102049063200 is an abundant number, since it is smaller than the sum of its proper divisors (309798701856).

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

102049063200 is a wasteful number, since it uses less digits than its factorization.

102049063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 102049063200 in words is "one hundred two billion, forty-nine million, sixty-three thousand, two hundred".