102243290827536 has 320 divisors, whose sum is σ = 312254369679360. Its totient is φ = 31974416824320.

The previous prime is 102243290827507. The next prime is 102243290827547. The reversal of 102243290827536 is 635728092342201.

102243290827536 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 3 + 29 + 0 + 82 + 7 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136882150 + ... + 137627066.

It is an arithmetic number, because the mean of its divisors is an integer number (975794905248).

It is a 1-persistent number, because it is pandigital, but 2⋅102243290827536 = 204486581655072 is not.

Almost surely, 2^{102243290827536} is an apocalyptic number.

102243290827536 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 102243290827536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156127184839680).

102243290827536 is an abundant number, since it is smaller than the sum of its proper divisors (210011078851824).

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

102243290827536 is a wasteful number, since it uses less digits than its factorization.

102243290827536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745279 (or 745267 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 102243290827536 in words is "one hundred two trillion, two hundred forty-three billion, two hundred ninety million, eight hundred twenty-seven thousand, five hundred thirty-six".