102819101 has 12 divisors (see below), whose sum is σ = 130479840. Its totient is φ = 80118360.

The previous prime is 102819097. The next prime is 102819109. The reversal of 102819101 is 101918201.

It is not a de Polignac number, because 102819101 - 2² = 102819097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102819109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94841 + ... + 95918.

It is an arithmetic number, because the mean of its divisors is an integer number (10873320).

Almost surely, 2^102819101 is an apocalyptic number.

102819101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102819101 is a deficient number, since it is larger than the sum of its proper divisors (27660739).

102819101 is a wasteful number, since it uses less digits than its factorization.

102819101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190784 (or 190777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 102819101 is about 10139.9753944475. The cubic root of 102819101 is about 468.4802291055.

The spelling of 102819101 in words is "one hundred two million, eight hundred nineteen thousand, one hundred one".