102514240 has 56 divisors (see below), whose sum is σ = 244995192. Its totient is φ = 40857600.

The previous prime is 102514231. The next prime is 102514259. The reversal of 102514240 is 42415201.

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 57032704 = 6744^2 + 7552^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 145890 + ... + 146590.

Almost surely, 2^102514240 is an apocalyptic number.

102514240 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 102514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122497596).

102514240 is an abundant number, since it is smaller than the sum of its proper divisors (142480952).

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

102514240 is an equidigital number, since it uses as much as digits as its factorization.

102514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 102514240 is about 10124.9316047073. The cubic root of 102514240 is about 468.0167525111.

Adding to 102514240 its reverse (42415201), we get a palindrome (144929441).

The spelling of 102514240 in words is "one hundred two million, five hundred fourteen thousand, two hundred forty".