102906048 has 112 divisors (see below), whose sum is σ = 324794880. Its totient is φ = 28114944.

The previous prime is 102906029. The next prime is 102906053. The reversal of 102906048 is 840609201.

It is a tau number, because it is divible by the number of its divisors (112).

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, 29248 + ... + 32576.

Almost surely, 2^102906048 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 102906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397440).

102906048 is an abundant number, since it is smaller than the sum of its proper divisors (221888832).

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

102906048 is a wasteful number, since it uses less digits than its factorization.

102906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3364 counting only the distinct ones).

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

The square root of 102906048 is about 10144.2618262740. The cubic root of 102906048 is about 468.6122456724.

The spelling of 102906048 in words is "one hundred two million, nine hundred six thousand, forty-eight".