102036672 has 98 divisors (see below), whose sum is σ = 303718468. Its totient is φ = 34012224.

The previous prime is 102036661. The next prime is 102036673. The reversal of 102036672 is 276630201.

It is a happy number.

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 is an ABA number since it can be written as A⋅B^A, here for A=3, B=324.

It is a super-2 number, since 2×102036672² = 20822964865671168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102036673) 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 13 ways as a sum of consecutive naturals, for example, 34012223 + 34012224 + 34012225.

Almost surely, 2^102036672 is an apocalyptic number.

102036672 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 102036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151859234).

102036672 is an abundant number, since it is smaller than the sum of its proper divisors (201681796).

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

102036672 is an frugal number, since it uses more digits than its factorization.

102036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 102036672 is about 10101.3203097417. The cubic root of 102036672 is about 467.2888607796.

Multiplying 102036672 by its sum of digits (27), we get a square (2754990144 = 52488²).

102036672 divided by its sum of digits (27) gives a square (3779136 = 1944²).

Adding to 102036672 its reverse (276630201), we get a palindrome (378666873).

The spelling of 102036672 in words is "one hundred two million, thirty-six thousand, six hundred seventy-two".