106010561000000 has 98 divisors (see below), whose sum is σ = 262952520375594. Its totient is φ = 42404224000000.

The previous prime is 106010560999957. The next prime is 106010561000009. The reversal of 106010561000000 is 165010601.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 100400560320064 + 5610000679936 = 10020008^2 + 2368544^2 .

It is a super-2 number, since 2×106010561000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (106010561000009) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 52005281 + ... + 54005280.

Almost surely, 2^{106010561000000} is an apocalyptic number.

106010561000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010561000000 is an abundant number, since it is smaller than the sum of its proper divisors (156941959375594).

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

106010561000000 is an frugal number, since it uses more digits than its factorization.

106010561000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106010603 (or 106010568 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 106010561000000 in words is "one hundred six trillion, ten billion, five hundred sixty-one million", and thus it is an aban number.