102461449216 has 99 divisors (see below), whose sum is σ = 238430152809. Its totient is φ = 43881320448.

The previous prime is 102461449171. The next prime is 102461449219. The reversal of 102461449216 is 612944164201.

The square root of 102461449216 is 320096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6906274816 + 95555174400 = 83104^2 + 309120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102461449219) 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 8 ways as a sum of consecutive naturals, for example, 71700790 + ... + 71702218.

Almost surely, 2^102461449216 is an apocalyptic number.

102461449216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102461449216 is the 320096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102461449216

102461449216 is an abundant number, since it is smaller than the sum of its proper divisors (135968703593).

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

102461449216 is an frugal number, since it uses more digits than its factorization.

102461449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 102461449216 in words is "one hundred two billion, four hundred sixty-one million, four hundred forty-nine thousand, two hundred sixteen".