106010561000 has 32 divisors (see below), whose sum is σ = 248064715080. Its totient is φ = 42404224000.

The previous prime is 106010560979. The next prime is 106010561017. The reversal of 106010561000 is 165010601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14108213284 + 91902347716 = 118778^2 + 303154^2 .

It is a super-2 number, since 2×106010561000² (a number of 23 digits) contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 53004281 + ... + 53006280.

Almost surely, 2^106010561000 is an apocalyptic number.

106010561000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010561000 is an abundant number, since it is smaller than the sum of its proper divisors (142054154080).

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

106010561000 is a wasteful number, since it uses less digits than its factorization.

106010561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106010582 (or 106010568 counting only the distinct ones).

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

Adding to 106010561000 its reverse (165010601), we get a palindrome (106175571601).

The spelling of 106010561000 in words is "one hundred six billion, ten million, five hundred sixty-one thousand".