106250021772516 has 36 divisors (see below), whose sum is σ = 275835266737212. Its totient is φ = 34459466520384.

The previous prime is 106250021772439. The next prime is 106250021772547. The reversal of 106250021772516 is 615277120052601.

106250021772516 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 50 + 0 + 2 + 17 + 72 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101773877596416 + 4476144176100 = 10088304^2 + 2115690^2 .

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

It is a super-2 number, since 2×106250021772516² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39883640475 + ... + 39883643138.

Almost surely, 2^{106250021772516} is an apocalyptic number.

It is an amenable number.

106250021772516 is an abundant number, since it is smaller than the sum of its proper divisors (169585244964696).

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

106250021772516 is a wasteful number, since it uses less digits than its factorization.

106250021772516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79767283660 (or 79767283655 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 106250021772516 in words is "one hundred six trillion, two hundred fifty billion, twenty-one million, seven hundred seventy-two thousand, five hundred sixteen".