102105202152 has 32 divisors (see below), whose sum is σ = 268697901600. Its totient is φ = 32243747904.

The previous prime is 102105202093. The next prime is 102105202163. The reversal of 102105202152 is 251202501201.

It is a super-2 number, since 2×102105202152² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111957003 + ... + 111957914.

It is an arithmetic number, because the mean of its divisors is an integer number (8396809425).

Almost surely, 2^102105202152 is an apocalyptic number.

102105202152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102105202152 is an abundant number, since it is smaller than the sum of its proper divisors (166592699448).

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

102105202152 is a wasteful number, since it uses less digits than its factorization.

102105202152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223914945 (or 223914941 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 102105202152 its reverse (251202501201), we get a palindrome (353307703353).

The spelling of 102105202152 in words is "one hundred two billion, one hundred five million, two hundred two thousand, one hundred fifty-two".