102346378169280 has 896 divisors, whose sum is σ = 391005647069184. Its totient is φ = 22194575769600.

The previous prime is 102346378169257. The next prime is 102346378169281. The reversal of 102346378169280 is 82961873643201.

It is a super-2 number, since 2×102346378169280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102346378169281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2033036910 + ... + 2033087250.

It is an arithmetic number, because the mean of its divisors is an integer number (436390231104).

Almost surely, 2^{102346378169280} is an apocalyptic number.

102346378169280 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 102346378169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195502823534592).

102346378169280 is an abundant number, since it is smaller than the sum of its proper divisors (288659268899904).

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

102346378169280 is a wasteful number, since it uses less digits than its factorization.

102346378169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50613 (or 50603 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 102346378169280 in words is "one hundred two trillion, three hundred forty-six billion, three hundred seventy-eight million, one hundred sixty-nine thousand, two hundred eighty".