102906918 has 48 divisors (see below), whose sum is σ = 231469056. Its totient is φ = 33006960.

The previous prime is 102906917. The next prime is 102906931. The reversal of 102906918 is 819609201.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102906911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124021 + ... + 124847.

It is an arithmetic number, because the mean of its divisors is an integer number (4822272).

Almost surely, 2^102906918 is an apocalyptic number.

102906918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102906918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115734528).

102906918 is an abundant number, since it is smaller than the sum of its proper divisors (128562138).

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

102906918 is a wasteful number, since it uses less digits than its factorization.

102906918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 102906918 is about 10144.3047075687. The cubic root of 102906918 is about 468.6135662670.

The spelling of 102906918 in words is "one hundred two million, nine hundred six thousand, nine hundred eighteen".