106001051550516 has 36 divisors (see below), whose sum is σ = 268037717308452. Its totient is φ = 35321734648704.

The previous prime is 106001051550451. The next prime is 106001051550521. The reversal of 106001051550516 is 615055150100601.

It is a happy number.

106001051550516 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 1 + 0 + 51 + 550 + 51 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11736448222500 + 94264603328016 = 3425850^2 + 9708996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106001051550516² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497775465 + ... + 497988368.

It is an arithmetic number, because the mean of its divisors is an integer number (7445492147457).

Almost surely, 2^{106001051550516} is an apocalyptic number.

It is an amenable number.

106001051550516 is an abundant number, since it is smaller than the sum of its proper divisors (162036665757936).

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

106001051550516 is a wasteful number, since it uses less digits than its factorization.

106001051550516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995766800 (or 995766795 counting only the distinct ones).

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

The spelling of 106001051550516 in words is "one hundred six trillion, one billion, fifty-one million, five hundred fifty thousand, five hundred sixteen".