102165140 has 144 divisors (see below), whose sum is σ = 278495616. Its totient is φ = 30792960.

The previous prime is 102165127. The next prime is 102165143. The reversal of 102165140 is 41561201.

102165140 = T₃₅₁ + T₃₅₂ + ... + T₈₆₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102165143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 626699 + ... + 626861.

Almost surely, 2^102165140 is an apocalyptic number.

102165140 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 102165140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139247808).

102165140 is an abundant number, since it is smaller than the sum of its proper divisors (176330476).

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

102165140 is a wasteful number, since it uses less digits than its factorization.

102165140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 102165140 is about 10107.6772801668. The cubic root of 102165140 is about 467.4848899384.

The spelling of 102165140 in words is "one hundred two million, one hundred sixty-five thousand, one hundred forty".