106774872 has 32 divisors (see below), whose sum is σ = 269438400. Its totient is φ = 35258144.

The previous prime is 106774867. The next prime is 106774873. The reversal of 106774872 is 278477601.

It is a super-2 number, since 2×106774872² = 22801746581232768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106774873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18222 + ... + 23357.

It is an arithmetic number, because the mean of its divisors is an integer number (8419950).

Almost surely, 2^106774872 is an apocalyptic number.

106774872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106774872 is an abundant number, since it is smaller than the sum of its proper divisors (162663528).

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

106774872 is a wasteful number, since it uses less digits than its factorization.

106774872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41695 (or 41691 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 106774872 is about 10333.1927302262. The cubic root of 106774872 is about 474.4127509140.

The spelling of 106774872 in words is "one hundred six million, seven hundred seventy-four thousand, eight hundred seventy-two".