102240115200 has 720 divisors, whose sum is σ = 390395655936. Its totient is φ = 25492684800.

The previous prime is 102240115193. The next prime is 102240115213. The reversal of 102240115200 is 2511042201.

102240115200 is a `hidden beast` number, since 102 + 2 + 40 + 1 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×102240115200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124530790 + ... + 124531610.

Almost surely, 2^102240115200 is an apocalyptic number.

102240115200 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 102240115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197827968).

102240115200 is an abundant number, since it is smaller than the sum of its proper divisors (288155540736).

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

102240115200 is a wasteful number, since it uses less digits than its factorization.

102240115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 102240115200 its reverse (2511042201), we get a palindrome (104751157401).

The spelling of 102240115200 in words is "one hundred two billion, two hundred forty million, one hundred fifteen thousand, two hundred".