102834605952 has 768 divisors, whose sum is σ = 349335866880. Its totient is φ = 28782673920.

The previous prime is 102834605921. The next prime is 102834605953. The reversal of 102834605952 is 259506438201.

102834605952 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 34 + 605 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×102834605952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102834605898 and 102834605907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102834605953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 784996927 + ... + 784997057.

It is an arithmetic number, because the mean of its divisors is an integer number (454864410).

Almost surely, 2^102834605952 is an apocalyptic number.

102834605952 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 102834605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174667933440).

102834605952 is an abundant number, since it is smaller than the sum of its proper divisors (246501260928).

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

102834605952 is a wasteful number, since it uses less digits than its factorization.

102834605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 102834605952 in words is "one hundred two billion, eight hundred thirty-four million, six hundred five thousand, nine hundred fifty-two".