102811016 has 96 divisors (see below), whose sum is σ = 247963680. Its totient is φ = 39513600.

The previous prime is 102811001. The next prime is 102811103. The reversal of 102811016 is 610118201.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487151 + ... + 487361.

It is an arithmetic number, because the mean of its divisors is an integer number (2582955).

Almost surely, 2^102811016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102811016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123981840).

102811016 is an abundant number, since it is smaller than the sum of its proper divisors (145152664).

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

102811016 is a wasteful number, since it uses less digits than its factorization.

102811016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 102811016 is about 10139.5767170035. The cubic root of 102811016 is about 468.4679494094.

Adding to 102811016 its reverse (610118201), we get a palindrome (712929217).

It can be divided in two parts, 102 and 811016, that added together give a palindrome (811118).

The spelling of 102811016 in words is "one hundred two million, eight hundred eleven thousand, sixteen".