102360420 has 36 divisors (see below), whose sum is σ = 310493820. Its totient is φ = 27296064.

The previous prime is 102360403. The next prime is 102360439. The reversal of 102360420 is 24063201.

It is a happy number.

102360420 is a `hidden beast` number, since 10 + 236 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62821476 + 39538944 = 7926^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 102360393 and 102360402.

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 11 ways as a sum of consecutive naturals, for example, 284155 + ... + 284514.

Almost surely, 2^102360420 is an apocalyptic number.

102360420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102360420 is an abundant number, since it is smaller than the sum of its proper divisors (208133400).

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

102360420 is a wasteful number, since it uses less digits than its factorization.

102360420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568684 (or 568679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102360420 is about 10117.3326524336. The cubic root of 102360420 is about 467.7825529388.

The spelling of 102360420 in words is "one hundred two million, three hundred sixty thousand, four hundred twenty".