102274980992 has 72 divisors (see below), whose sum is σ = 213168286065. Its totient is φ = 48874321408.

The previous prime is 102274980991. The next prime is 102274981051. The reversal of 102274980992 is 299089472201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 62712179776 + 39562801216 = 250424^2 + 198904^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226136.

It is a super-2 number, since 2×102274980992² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102274980991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83217434 + ... + 83218662.

Almost surely, 2^102274980992 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 102274980992

102274980992 is an abundant number, since it is smaller than the sum of its proper divisors (110893305073).

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

102274980992 is an frugal number, since it uses more digits than its factorization.

102274980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 102274980992 in words is "one hundred two billion, two hundred seventy-four million, nine hundred eighty thousand, nine hundred ninety-two".