102116260 has 48 divisors (see below), whose sum is σ = 228009600. Its totient is φ = 38306304.

The previous prime is 102116249. The next prime is 102116291. The reversal of 102116260 is 62611201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37836 + ... + 40444.

It is an arithmetic number, because the mean of its divisors is an integer number (4750200).

Almost surely, 2^102116260 is an apocalyptic number.

102116260 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 102116260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114004800).

102116260 is an abundant number, since it is smaller than the sum of its proper divisors (125893340).

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

102116260 is a wasteful number, since it uses less digits than its factorization.

102116260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 102116260 is about 10105.2590268632. The cubic root of 102116260 is about 467.4103233866.

Adding to 102116260 its reverse (62611201), we get a palindrome (164727461).

It can be divided in two parts, 10211 and 6260, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 102116260 in words is "one hundred two million, one hundred sixteen thousand, two hundred sixty".