102293072672 has 162 divisors, whose sum is σ = 241347738051. Its totient is φ = 42553512960.

The previous prime is 102293072671. The next prime is 102293072699. The reversal of 102293072672 is 276270392201.

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 5 ways, for example, as 59163751696 + 43129320976 = 243236^2 + 207676^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226156.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (102293072671) 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, 519254078 + ... + 519254274.

Almost surely, 2^102293072672 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 102293072672

102293072672 is an abundant number, since it is smaller than the sum of its proper divisors (139054665379).

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

102293072672 is an frugal number, since it uses more digits than its factorization.

102293072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 102293072672 in words is "one hundred two billion, two hundred ninety-three million, seventy-two thousand, six hundred seventy-two".