102036720 has 160 divisors (see below), whose sum is σ = 339888960. Its totient is φ = 25231360.

The previous prime is 102036719. The next prime is 102036731. The reversal of 102036720 is 27630201.

It is a happy number.

It is a super-2 number, since 2×102036720² = 20822984456716800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 362980 + ... + 363260.

It is an arithmetic number, because the mean of its divisors is an integer number (2124306).

Almost surely, 2^102036720 is an apocalyptic number.

102036720 is a gapful number since it is divisible by the number (10) 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 102036720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169944480).

102036720 is an abundant number, since it is smaller than the sum of its proper divisors (237852240).

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

102036720 is a wasteful number, since it uses less digits than its factorization.

102036720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 102036720 is about 10101.3226856684. The cubic root of 102036720 is about 467.2889340535.

Adding to 102036720 its reverse (27630201), we get a palindrome (129666921).

It can be divided in two parts, 1020 and 36720, that multiplied together give a square (37454400 = 6120²).

The spelling of 102036720 in words is "one hundred two million, thirty-six thousand, seven hundred twenty".