102660416 has 56 divisors (see below), whose sum is σ = 217435176. Its totient is φ = 47923200.

The previous prime is 102660379. The next prime is 102660427. The reversal of 102660416 is 614066201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34762816 + 67897600 = 5896^2 + 8240^2 .

It is a super-2 number, since 2×102660416² = 21078322026586112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170516 + ... + 171116.

It is an arithmetic number, because the mean of its divisors is an integer number (3882771).

Almost surely, 2^102660416 is an apocalyptic number.

102660416 is a gapful number since it is divisible by the number (16) 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 102660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108717588).

102660416 is an abundant number, since it is smaller than the sum of its proper divisors (114774760).

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

102660416 is a wasteful number, since it uses less digits than its factorization.

102660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 102660416 is about 10132.1476499309. The cubic root of 102660416 is about 468.2390966645.

The spelling of 102660416 in words is "one hundred two million, six hundred sixty thousand, four hundred sixteen".