102111072 has 192 divisors, whose sum is σ = 323979264. Its totient is φ = 27555840.

The previous prime is 102111071. The next prime is 102111103. The reversal of 102111072 is 270111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673922 + ... + 1673982.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^102111072 is an apocalyptic number.

102111072 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 102111072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

102111072 is an abundant number, since it is smaller than the sum of its proper divisors (221868192).

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

102111072 is a wasteful number, since it uses less digits than its factorization.

102111072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 102111072 is about 10105.0023255811. The cubic root of 102111072 is about 467.4024076840.

Adding to 102111072 its reverse (270111201), we get a palindrome (372222273).

The spelling of 102111072 in words is "one hundred two million, one hundred eleven thousand, seventy-two".