106006000061056 has 32 divisors (see below), whose sum is σ = 211189745098080. Its totient is φ = 53001515016960.

The previous prime is 106006000061053. The next prime is 106006000061099. The reversal of 106006000061056 is 650160000600601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106006000061056² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006000061053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7008180 + ... + 16159411.

It is an arithmetic number, because the mean of its divisors is an integer number (6599679534315).

Almost surely, 2^{106006000061056} is an apocalyptic number.

106006000061056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106006000061056 is a deficient number, since it is larger than the sum of its proper divisors (105183745037024).

106006000061056 is an equidigital number, since it uses as much as digits as its factorization.

106006000061056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23203352 (or 23203340 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 106006000061056 its reverse (650160000600601), we get a palindrome (756166000661657).

The spelling of 106006000061056 in words is "one hundred six trillion, six billion, sixty-one thousand, fifty-six".