102952276224 has 144 divisors (see below), whose sum is σ = 321610547328. Its totient is φ = 28619882496.

The previous prime is 102952276211. The next prime is 102952276237. The reversal of 102952276224 is 422672259201.

It is an interprime number because it is at equal distance from previous prime (102952276211) and next prime (102952276237).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59877 + ... + 457700.

Almost surely, 2^102952276224 is an apocalyptic number.

102952276224 is a gapful number since it is divisible by the number (14) 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 102952276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160805273664).

102952276224 is an abundant number, since it is smaller than the sum of its proper divisors (218658271104).

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

102952276224 is an equidigital number, since it uses as much as digits as its factorization.

102952276224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517640 (or 517626 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 102952276224 in words is "one hundred two billion, nine hundred fifty-two million, two hundred seventy-six thousand, two hundred twenty-four".