106981434 has 96 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 29030400.

The previous prime is 106981421. The next prime is 106981481. The reversal of 106981434 is 434189601.

It is a super-2 number, since 2×106981434² = 22890054441392712, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 238042 + ... + 238490.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^106981434 is an apocalyptic number.

106981434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106981434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

106981434 is an abundant number, since it is smaller than the sum of its proper divisors (171572166).

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

106981434 is a wasteful number, since it uses less digits than its factorization.

106981434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106981434 is about 10343.1829723736. The cubic root of 106981434 is about 474.7184799054.

The spelling of 106981434 in words is "one hundred six million, nine hundred eighty-one thousand, four hundred thirty-four".