102836240 has 80 divisors (see below), whose sum is σ = 261868656. Its totient is φ = 37324800.

The previous prime is 102836191. The next prime is 102836249. The reversal of 102836240 is 42638201.

It can be written as a sum of positive squares in 8 ways, for example, as 17606416 + 85229824 = 4196^2 + 9232^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (102836249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62630 + ... + 64250.

Almost surely, 2^102836240 is an apocalyptic number.

102836240 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 102836240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130934328).

102836240 is an abundant number, since it is smaller than the sum of its proper divisors (159032416).

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

102836240 is a wasteful number, since it uses less digits than its factorization.

102836240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 102836240 is about 10140.8204796259. The cubic root of 102836240 is about 468.5062581100.

The spelling of 102836240 in words is "one hundred two million, eight hundred thirty-six thousand, two hundred forty".