102218906952 has 108 divisors (see below), whose sum is σ = 284068933785. Its totient is φ = 33205749120.

The previous prime is 102218906947. The next prime is 102218906989. The reversal of 102218906952 is 259609812201.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 73000474596 + 29218432356 = 270186^2 + 170934^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226074.

It is a junction number, because it is equal to n+sod(n) for n = 102218906898 and 102218906907.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111227949 + ... + 111228867.

Almost surely, 2^102218906952 is an apocalyptic number.

102218906952 is a gapful number since it is divisible by the number (12) 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 102218906952

102218906952 is an abundant number, since it is smaller than the sum of its proper divisors (181850026833).

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

102218906952 is an frugal number, since it uses more digits than its factorization.

102218906952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 102218906952 in words is "one hundred two billion, two hundred eighteen million, nine hundred six thousand, nine hundred fifty-two".