106150349556 has 96 divisors (see below), whose sum is σ = 282089472000. Its totient is φ = 34499312640.

The previous prime is 106150349527. The next prime is 106150349603. The reversal of 106150349556 is 655943051601.

106150349556 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 50 + 3 + 49 + 556 = 666.

It is a super-2 number, since 2×106150349556² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8287245 + ... + 8300043.

It is an arithmetic number, because the mean of its divisors is an integer number (2938432000).

Almost surely, 2^106150349556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106150349556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141044736000).

106150349556 is an abundant number, since it is smaller than the sum of its proper divisors (175939122444).

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

106150349556 is a wasteful number, since it uses less digits than its factorization.

106150349556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14726 (or 14718 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 106150349556 in words is "one hundred six billion, one hundred fifty million, three hundred forty-nine thousand, five hundred fifty-six".