855146106 has 64 divisors (see below), whose sum is σ = 1948354560. Its totient is φ = 277893360.

The previous prime is 855146077. The next prime is 855146107. The reversal of 855146106 is 601641558.

855146106 is a `hidden beast` number, since 85 + 514 + 61 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (855146107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880201 + ... + 881171.

It is an arithmetic number, because the mean of its divisors is an integer number (30443040).

Almost surely, 2^855146106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855146106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974177280).

855146106 is an abundant number, since it is smaller than the sum of its proper divisors (1093208454).

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

855146106 is a wasteful number, since it uses less digits than its factorization.

855146106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 855146106 is about 29242.8812875886. The cubic root of 855146106 is about 949.1760560447.

The spelling of 855146106 in words is "eight hundred fifty-five million, one hundred forty-six thousand, one hundred six".