102422529216 has 448 divisors, whose sum is σ = 352835829760. Its totient is φ = 28531077120.

The previous prime is 102422529199. The next prime is 102422529221. The reversal of 102422529216 is 612925224201.

102422529216 is a `hidden beast` number, since 10 + 2 + 422 + 5 + 2 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 93707166 + ... + 93708258.

Almost surely, 2^102422529216 is an apocalyptic number.

102422529216 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 102422529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176417914880).

102422529216 is an abundant number, since it is smaller than the sum of its proper divisors (250413300544).

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

102422529216 is a wasteful number, since it uses less digits than its factorization.

102422529216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1293 counting only the distinct ones).

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

The spelling of 102422529216 in words is "one hundred two billion, four hundred twenty-two million, five hundred twenty-nine thousand, two hundred sixteen".