102186509440 has 32 divisors (see below), whose sum is σ = 244289625660. Its totient is φ = 40874603520.

The previous prime is 102186509437. The next prime is 102186509507. The reversal of 102186509440 is 44905681201.

It can be written as a sum of positive squares in 2 ways, for example, as 97339008064 + 4847501376 = 311992^2 + 69624^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×102186509440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 102186509393 and 102186509402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79832571 + ... + 79833850.

Almost surely, 2^102186509440 is an apocalyptic number.

102186509440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102186509440 is an abundant number, since it is smaller than the sum of its proper divisors (142103116220).

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

102186509440 is an equidigital number, since it uses as much as digits as its factorization.

102186509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159666440 (or 159666428 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 102186509440 in words is "one hundred two billion, one hundred eighty-six million, five hundred nine thousand, four hundred forty".