102034241352 has 160 divisors (see below), whose sum is σ = 287483454720. Its totient is φ = 33810670080.

The previous prime is 102034241333. The next prime is 102034241357. The reversal of 102034241352 is 253142430201.

102034241352 is a `hidden beast` number, since 1 + 0 + 203 + 42 + 413 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102034241357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115815952 + ... + 115816832.

It is an arithmetic number, because the mean of its divisors is an integer number (1796771592).

Almost surely, 2^102034241352 is an apocalyptic number.

102034241352 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 102034241352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143741727360).

102034241352 is an abundant number, since it is smaller than the sum of its proper divisors (185449213368).

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

102034241352 is a wasteful number, since it uses less digits than its factorization.

102034241352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 102034241352 its reverse (253142430201), we get a palindrome (355176671553).

The spelling of 102034241352 in words is "one hundred two billion, thirty-four million, two hundred forty-one thousand, three hundred fifty-two".