106242265063300 has 18 divisors (see below), whose sum is σ = 230545715187578. Its totient is φ = 42496906025280.

The previous prime is 106242265063289. The next prime is 106242265063309. The reversal of 106242265063300 is 3360562242601.

It can be written as a sum of positive squares in 3 ways, for example, as 4099871734596 + 102142393328704 = 2024814^2 + 10106552^2 .

It is a super-2 number, since 2×106242265063300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106242265063309) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 531211325217 + ... + 531211325416.

Almost surely, 2^{106242265063300} is an apocalyptic number.

106242265063300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106242265063300 is an abundant number, since it is smaller than the sum of its proper divisors (124303450124278).

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

106242265063300 is a wasteful number, since it uses less digits than its factorization.

106242265063300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062422650647 (or 1062422650640 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 106242265063300 in words is "one hundred six trillion, two hundred forty-two billion, two hundred sixty-five million, sixty-three thousand, three hundred".