102191310 has 96 divisors (see below), whose sum is σ = 301260960. Its totient is φ = 23825664.

The previous prime is 102191293. The next prime is 102191317. The reversal of 102191310 is 13191201.

It is a super-2 number, since 2×102191310² = 20886127679032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102191317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19932 + ... + 24528.

It is an arithmetic number, because the mean of its divisors is an integer number (3138135).

Almost surely, 2^102191310 is an apocalyptic number.

102191310 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 102191310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150630480).

102191310 is an abundant number, since it is smaller than the sum of its proper divisors (199069650).

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

102191310 is a wasteful number, since it uses less digits than its factorization.

102191310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 102191310 is about 10108.9717578001. The cubic root of 102191310 is about 467.5248025580.

The spelling of 102191310 in words is "one hundred two million, one hundred ninety-one thousand, three hundred ten".