102294262304896 has 128 divisors (see below), whose sum is σ = 217613167770240. Its totient is φ = 47781623070720.

The previous prime is 102294262304887. The next prime is 102294262305013. The reversal of 102294262304896 is 698403262492201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×102294262304896² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102294262304896.

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 15 ways as a sum of consecutive naturals, for example, 1991646256 + ... + 1991697616.

It is an arithmetic number, because the mean of its divisors is an integer number (1700102873205).

Almost surely, 2^{102294262304896} is an apocalyptic number.

102294262304896 is a gapful number since it is divisible by the number (16) 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 102294262304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108806583885120).

102294262304896 is an abundant number, since it is smaller than the sum of its proper divisors (115318905465344).

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

102294262304896 is a wasteful number, since it uses less digits than its factorization.

102294262304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67174 (or 67162 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 102294262304896 in words is "one hundred two trillion, two hundred ninety-four billion, two hundred sixty-two million, three hundred four thousand, eight hundred ninety-six".