107020150272 has 960 divisors, whose sum is σ = 395471831040. Its totient is φ = 27172454400.

The previous prime is 107020150249. The next prime is 107020150357. The reversal of 107020150272 is 272051020701.

107020150272 is a `hidden beast` number, since 1 + 0 + 70 + 20 + 1 + 502 + 72 = 666.

It is a super-2 number, since 2×107020150272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816947647 + ... + 816947777.

It is an arithmetic number, because the mean of its divisors is an integer number (411949824).

Almost surely, 2^107020150272 is an apocalyptic number.

107020150272 is a gapful number since it is divisible by the number (12) 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 107020150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197735915520).

107020150272 is an abundant number, since it is smaller than the sum of its proper divisors (288451680768).

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

107020150272 is a wasteful number, since it uses less digits than its factorization.

107020150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 107020150272 its reverse (272051020701), we get a palindrome (379071170973).

The spelling of 107020150272 in words is "one hundred seven billion, twenty million, one hundred fifty thousand, two hundred seventy-two".