102413000 has 64 divisors (see below), whose sum is σ = 244857600. Its totient is φ = 40075200.

The previous prime is 102412991. The next prime is 102413009. The reversal of 102413000 is 314201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102412991) and next prime (102413009).

It is not an unprimeable number, because it can be changed into a prime (102413009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45911 + ... + 48089.

It is an arithmetic number, because the mean of its divisors is an integer number (3825900).

Almost surely, 2^102413000 is an apocalyptic number.

102413000 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 102413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122428800).

102413000 is an abundant number, since it is smaller than the sum of its proper divisors (142444600).

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

102413000 is a wasteful number, since it uses less digits than its factorization.

102413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102413000 is about 10119.9308298031. The cubic root of 102413000 is about 467.8626353131.

Adding to 102413000 its reverse (314201), we get a palindrome (102727201).

The spelling of 102413000 in words is "one hundred two million, four hundred thirteen thousand".