106990196544 has 560 divisors, whose sum is σ = 416251461120. Its totient is φ = 26325181440.

The previous prime is 106990196543. The next prime is 106990196557. The reversal of 106990196544 is 445691099601.

106990196544 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 9 + 0 + 1 + 96 + 544 = 666.

It is a super-2 number, since 2×106990196544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106990196543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7577139 + ... + 7591245.

Almost surely, 2^106990196544 is an apocalyptic number.

106990196544 is a gapful number since it is divisible by the number (14) 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 106990196544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208125730560).

106990196544 is an abundant number, since it is smaller than the sum of its proper divisors (309261264576).

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

106990196544 is a wasteful number, since it uses less digits than its factorization.

106990196544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14168 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 106990196544 in words is "one hundred six billion, nine hundred ninety million, one hundred ninety-six thousand, five hundred forty-four".