102115040 has 96 divisors (see below), whose sum is σ = 249842880. Its totient is φ = 39424000.

The previous prime is 102115033. The next prime is 102115043. The reversal of 102115040 is 40511201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102115043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010990 + ... + 1011090.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2^102115040 is an apocalyptic number.

102115040 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 102115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124921440).

102115040 is an abundant number, since it is smaller than the sum of its proper divisors (147727840).

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

102115040 is a wasteful number, since it uses less digits than its factorization.

102115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 102115040 is about 10105.1986620749. The cubic root of 102115040 is about 467.4084619694.

Adding to 102115040 its reverse (40511201), we get a palindrome (142626241).

It can be divided in two parts, 10211 and 5040, that added together give a palindrome (15251).

The spelling of 102115040 in words is "one hundred two million, one hundred fifteen thousand, forty".