106319195136 has 1056 divisors, whose sum is σ = 412014919680. Its totient is φ = 26575257600.

The previous prime is 106319195119. The next prime is 106319195137. The reversal of 106319195136 is 631591913601.

106319195136 is a `hidden beast` number, since 1 + 0 + 631 + 9 + 1 + 9 + 5 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×106319195136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106319195091 and 106319195100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106319195137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593961895 + ... + 593962073.

Almost surely, 2^106319195136 is an apocalyptic number.

106319195136 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 106319195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206007459840).

106319195136 is an abundant number, since it is smaller than the sum of its proper divisors (305695724544).

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

106319195136 is a wasteful number, since it uses less digits than its factorization.

106319195136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 106319195136 in words is "one hundred six billion, three hundred nineteen million, one hundred ninety-five thousand, one hundred thirty-six".