106105055051016 has 288 divisors, whose sum is σ = 345769224353280. Its totient is φ = 28776954240000.

The previous prime is 106105055050991. The next prime is 106105055051033. The reversal of 106105055051016 is 610150550501601.

It is a happy number.

106105055051016 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 50 + 550 + 51 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×106105055051016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26413641 + ... + 30164391.

It is an arithmetic number, because the mean of its divisors is an integer number (1200587584560).

Almost surely, 2^{106105055051016} 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 106105055051016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172884612176640).

106105055051016 is an abundant number, since it is smaller than the sum of its proper divisors (239664169302264).

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

106105055051016 is a wasteful number, since it uses less digits than its factorization.

106105055051016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750885 (or 3750841 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 106105055051016 in words is "one hundred six trillion, one hundred five billion, fifty-five million, fifty-one thousand, sixteen".