102942720 has 144 divisors (see below), whose sum is σ = 357100380. Its totient is φ = 27426816.

The previous prime is 102942713. The next prime is 102942739. The reversal of 102942720 is 27249201.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 12616704 = 9504^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91602 + ... + 92718.

Almost surely, 2^102942720 is an apocalyptic number.

102942720 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 102942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178550190).

102942720 is an abundant number, since it is smaller than the sum of its proper divisors (254157660).

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

102942720 is a wasteful number, since it uses less digits than its factorization.

102942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102942720 is about 10146.0691895926. The cubic root of 102942720 is about 468.6679045562.

The spelling of 102942720 in words is "one hundred two million, nine hundred forty-two thousand, seven hundred twenty".