102926208 has 192 divisors, whose sum is σ = 346734720. Its totient is φ = 26280960.

The previous prime is 102926141. The next prime is 102926209. The reversal of 102926208 is 802629201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102926209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744483 + ... + 1744541.

It is an arithmetic number, because the mean of its divisors is an integer number (1805910).

Almost surely, 2^102926208 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 102926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173367360).

102926208 is an abundant number, since it is smaller than the sum of its proper divisors (243808512).

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

102926208 is an equidigital number, since it uses as much as digits as its factorization.

102926208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 102926208 is about 10145.2554428166. The cubic root of 102926208 is about 468.6428451244.

The spelling of 102926208 in words is "one hundred two million, nine hundred twenty-six thousand, two hundred eight".