102123072 has 112 divisors (see below), whose sum is σ = 303458880. Its totient is φ = 33675264.

The previous prime is 102123067. The next prime is 102123101. The reversal of 102123072 is 270321201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195003 + ... + 195525.

Almost surely, 2^102123072 is an apocalyptic number.

102123072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151729440).

102123072 is an abundant number, since it is smaller than the sum of its proper divisors (201335808).

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

102123072 is a wasteful number, since it uses less digits than its factorization.

102123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102123072 is about 10105.5960734635. The cubic root of 102123072 is about 467.4207165349.

Adding to 102123072 its reverse (270321201), we get a palindrome (372444273).

The spelling of 102123072 in words is "one hundred two million, one hundred twenty-three thousand, seventy-two".