106373627136 has 504 divisors, whose sum is σ = 367713670464. Its totient is φ = 30068858880.

The previous prime is 106373627123. The next prime is 106373627141. The reversal of 106373627136 is 631726373601.

It is a happy number.

106373627136 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 3 + 627 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×106373627136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106373627091 and 106373627100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 139780996 + ... + 139781756.

It is an arithmetic number, because the mean of its divisors is an integer number (729590616).

Almost surely, 2^106373627136 is an apocalyptic number.

106373627136 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 106373627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183856835232).

106373627136 is an abundant number, since it is smaller than the sum of its proper divisors (261340043328).

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

106373627136 is an frugal number, since it uses more digits than its factorization.

106373627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 106373627136 in words is "one hundred six billion, three hundred seventy-three million, six hundred twenty-seven thousand, one hundred thirty-six".