106108997840 has 160 divisors (see below), whose sum is σ = 259577671680. Its totient is φ = 40284905472.

The previous prime is 106108997833. The next prime is 106108997849. The reversal of 106108997840 is 48799801601.

It is a super-2 number, since 2×106108997840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106108997849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33292727 + ... + 33295913.

It is an arithmetic number, because the mean of its divisors is an integer number (1622360448).

Almost surely, 2^106108997840 is an apocalyptic number.

106108997840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106108997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129788835840).

106108997840 is an abundant number, since it is smaller than the sum of its proper divisors (153468673840).

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

106108997840 is a wasteful number, since it uses less digits than its factorization.

106108997840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 106108997840 in words is "one hundred six billion, one hundred eight million, nine hundred ninety-seven thousand, eight hundred forty".