102713490 has 144 divisors (see below), whose sum is σ = 310340160. Its totient is φ = 23370240.

The previous prime is 102713489. The next prime is 102713491. The reversal of 102713490 is 94317201.

102713490 is a `hidden beast` number, since 102 + 71 + 3 + 490 = 666.

It is an interprime number because it is at equal distance from previous prime (102713489) and next prime (102713491).

It is a super-2 number, since 2×102713490² = 21100122055960200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102713491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285931 + ... + 286289.

It is an arithmetic number, because the mean of its divisors is an integer number (2155140).

Almost surely, 2^102713490 is an apocalyptic number.

102713490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102713490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155170080).

102713490 is an abundant number, since it is smaller than the sum of its proper divisors (207626670).

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

102713490 is a wasteful number, since it uses less digits than its factorization.

102713490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102713490 is about 10134.7664008600. The cubic root of 102713490 is about 468.3197737857.

The spelling of 102713490 in words is "one hundred two million, seven hundred thirteen thousand, four hundred ninety".