102514000 has 40 divisors (see below), whose sum is σ = 247883688. Its totient is φ = 41004800.

The previous prime is 102513991. The next prime is 102514001. The reversal of 102514000 is 415201.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 81938704 = 4536^2 + 9052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102514001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23629 + ... + 27628.

Almost surely, 2^102514000 is an apocalyptic number.

102514000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102514000 is an abundant number, since it is smaller than the sum of its proper divisors (145369688).

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

102514000 is an equidigital number, since it uses as much as digits as its factorization.

102514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51280 (or 51264 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 102514000 is about 10124.9197527684. The cubic root of 102514000 is about 468.0163872802.

Adding to 102514000 its reverse (415201), we get a palindrome (102929201).

The spelling of 102514000 in words is "one hundred two million, five hundred fourteen thousand".