106900494336 has 192 divisors, whose sum is σ = 319816879200. Its totient is φ = 35278848000.

The previous prime is 106900494299. The next prime is 106900494343. The reversal of 106900494336 is 633494009601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106900494336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106900494291 and 106900494300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5575326 + ... + 5594466.

Almost surely, 2^106900494336 is an apocalyptic number.

106900494336 is a gapful number since it is divisible by the number (16) 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 106900494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159908439600).

106900494336 is an abundant number, since it is smaller than the sum of its proper divisors (212916384864).

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

106900494336 is a wasteful number, since it uses less digits than its factorization.

106900494336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19273 (or 19247 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 106900494336 in words is "one hundred six billion, nine hundred million, four hundred ninety-four thousand, three hundred thirty-six".