102151460224 has 128 divisors (see below), whose sum is σ = 226388714400. Its totient is φ = 45903953920.

The previous prime is 102151460221. The next prime is 102151460233. The reversal of 102151460224 is 422064151201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 102151460192 and 102151460201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102151460221) by changing a digit.

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, 15159384 + ... + 15166120.

Almost surely, 2^102151460224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102151460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113194357200).

102151460224 is an abundant number, since it is smaller than the sum of its proper divisors (124237254176).

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

102151460224 is an frugal number, since it uses more digits than its factorization.

102151460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 102151460224 in words is "one hundred two billion, one hundred fifty-one million, four hundred sixty thousand, two hundred twenty-four".