102240011346432 has 160 divisors (see below), whose sum is σ = 288414527556672. Its totient is φ = 32073211183104.

The previous prime is 102240011346409. The next prime is 102240011346437. The reversal of 102240011346432 is 234643110042201.

It is a junction number, because it is equal to n+sod(n) for n = 102240011346393 and 102240011346402.

It is not an unprimeable number, because it can be changed into a prime (102240011346437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428979363 + ... + 429217629.

Almost surely, 2^{102240011346432} is an apocalyptic number.

102240011346432 is a gapful number since it is divisible by the number (12) 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 102240011346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144207263778336).

102240011346432 is an abundant number, since it is smaller than the sum of its proper divisors (186174516210240).

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

102240011346432 is a wasteful number, since it uses less digits than its factorization.

102240011346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254738 (or 254722 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 102240011346432 its reverse (234643110042201), we get a palindrome (336883121388633).

The spelling of 102240011346432 in words is "one hundred two trillion, two hundred forty billion, eleven million, three hundred forty-six thousand, four hundred thirty-two".