102795840 has 168 divisors, whose sum is σ = 404164800. Its totient is φ = 23491584.

The previous prime is 102795839. The next prime is 102795851. The reversal of 102795840 is 48597201.

102795840 is a `hidden beast` number, since 1 + 0 + 2 + 79 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 102795795 and 102795804.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17611 + ... + 22709.

Almost surely, 2^102795840 is an apocalyptic number.

102795840 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 102795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202082400).

102795840 is an abundant number, since it is smaller than the sum of its proper divisors (301368960).

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

102795840 is a wasteful number, since it uses less digits than its factorization.

102795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102795840 is about 10138.8283346746. The cubic root of 102795840 is about 468.4448979903. Note that the first 3 decimals are identical.

The spelling of 102795840 in words is "one hundred two million, seven hundred ninety-five thousand, eight hundred forty".