102356261280 has 1536 divisors, whose sum is σ = 469502853120. Its totient is φ = 20244971520.

The previous prime is 102356261269. The next prime is 102356261281. The reversal of 102356261280 is 82162653201.

102356261280 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 626 + 1 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102356261281) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 450908527 + ... + 450908753.

It is an arithmetic number, because the mean of its divisors is an integer number (305665920).

Almost surely, 2^102356261280 is an apocalyptic number.

102356261280 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 102356261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234751426560).

102356261280 is an abundant number, since it is smaller than the sum of its proper divisors (367146591840).

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

102356261280 is a wasteful number, since it uses less digits than its factorization.

102356261280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 102356261280 in words is "one hundred two billion, three hundred fifty-six million, two hundred sixty-one thousand, two hundred eighty".