102505541200 has 60 divisors (see below), whose sum is σ = 246511749148. Its totient is φ = 40961894400.

The previous prime is 102505541153. The next prime is 102505541209. The reversal of 102505541200 is 2145505201.

It can be written as a sum of positive squares in 6 ways, for example, as 5558000704 + 96947540496 = 74552^2 + 311364^2 .

It is a super-3 number, since 3×102505541200³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102505541209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282904 + ... + 533896.

Almost surely, 2^102505541200 is an apocalyptic number.

102505541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102505541200 is an abundant number, since it is smaller than the sum of its proper divisors (144006207948).

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

102505541200 is a wasteful number, since it uses less digits than its factorization.

102505541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252032 (or 252021 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 102505541200 in words is "one hundred two billion, five hundred five million, five hundred forty-one thousand, two hundred".