102165626340 has 144 divisors (see below), whose sum is σ = 311572405872. Its totient is φ = 27097694208.

The previous prime is 102165626209. The next prime is 102165626347. The reversal of 102165626340 is 43626561201.

102165626340 is a `hidden beast` number, since 1 + 0 + 2 + 16 + 5 + 6 + 2 + 634 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3646227456 + 98519398884 = 60384^2 + 313878^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102165626295 and 102165626304.

It is not an unprimeable number, because it can be changed into a prime (102165626347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43344442 + ... + 43346798.

It is an arithmetic number, because the mean of its divisors is an integer number (2163697263).

Almost surely, 2^102165626340 is an apocalyptic number.

102165626340 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 102165626340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155786202936).

102165626340 is an abundant number, since it is smaller than the sum of its proper divisors (209406779532).

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

102165626340 is a wasteful number, since it uses less digits than its factorization.

102165626340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 102165626340 in words is "one hundred two billion, one hundred sixty-five million, six hundred twenty-six thousand, three hundred forty".