106187009296 has 40 divisors (see below), whose sum is σ = 213123468600. Its totient is φ = 51216506880.

The previous prime is 106187009263. The next prime is 106187009309. The reversal of 106187009296 is 692900781601.

It can be written as a sum of positive squares in 4 ways, for example, as 14704957696 + 91482051600 = 121264^2 + 302460^2 .

It is a super-2 number, since 2×106187009296² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 851001 + ... + 967768.

It is an arithmetic number, because the mean of its divisors is an integer number (5328086715).

Almost surely, 2^106187009296 is an apocalyptic number.

106187009296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106187009296 is an abundant number, since it is smaller than the sum of its proper divisors (106936459304).

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

106187009296 is a wasteful number, since it uses less digits than its factorization.

106187009296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818907 (or 1818901 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 106187009296 in words is "one hundred six billion, one hundred eighty-seven million, nine thousand, two hundred ninety-six".