106981840 has 40 divisors (see below), whose sum is σ = 284267520. Its totient is φ = 36679296.

The previous prime is 106981829. The next prime is 106981843. The reversal of 106981840 is 48189601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106981840² = 22890228179571200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106981840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106981843) 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 7 ways as a sum of consecutive naturals, for example, 94960 + ... + 96079.

It is an arithmetic number, because the mean of its divisors is an integer number (7106688).

Almost surely, 2^106981840 is an apocalyptic number.

106981840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106981840 is an abundant number, since it is smaller than the sum of its proper divisors (177285680).

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

106981840 is a wasteful number, since it uses less digits than its factorization.

106981840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191059 (or 191053 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 106981840 is about 10343.2025988086. The cubic root of 106981840 is about 474.7190804316.

The spelling of 106981840 in words is "one hundred six million, nine hundred eighty-one thousand, eight hundred forty".