106494876 has 72 divisors (see below), whose sum is σ = 287842464. Its totient is φ = 33116160.

The previous prime is 106494863. The next prime is 106494877. The reversal of 106494876 is 678494601.

It is a super-2 number, since 2×106494876² = 22682317228510752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106494877) 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, 32380 + ... + 35516.

It is an arithmetic number, because the mean of its divisors is an integer number (3997812).

Almost surely, 2^106494876 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 106494876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143921232).

106494876 is an abundant number, since it is smaller than the sum of its proper divisors (181347588).

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

106494876 is a wasteful number, since it uses less digits than its factorization.

106494876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106494876 is about 10319.6354586778. The cubic root of 106494876 is about 473.9977033484.

It can be divided in two parts, 1064948 and 76, that added together give a square (1065024 = 1032²).

The spelling of 106494876 in words is "one hundred six million, four hundred ninety-four thousand, eight hundred seventy-six".