102229975261456 has 135 divisors (see below), whose sum is σ = 231732498055653. Its totient is φ = 43562541496320.

The previous prime is 102229975261451. The next prime is 102229975261457. The reversal of 102229975261456 is 654162579922201.

It is a happy number.

The square root of 102229975261456 is 10110884.

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., 24769135459600 + 77460839801856 = 4976860^2 + 8801184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102229975261394 and 102229975261403.

It is not an unprimeable number, because it can be changed into a prime (102229975261451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54639216201 + ... + 54639218071.

Almost surely, 2^{102229975261456} is an apocalyptic number.

102229975261456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102229975261456 is the 10110884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102229975261456

102229975261456 is an abundant number, since it is smaller than the sum of its proper divisors (129502522794197).

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

102229975261456 is an frugal number, since it uses more digits than its factorization.

102229975261456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 102229975261456 in words is "one hundred two trillion, two hundred twenty-nine billion, nine hundred seventy-five million, two hundred sixty-one thousand, four hundred fifty-six".