106010150561 has 16 divisors (see below), whose sum is σ = 121328937600. Its totient is φ = 90735085440.

The previous prime is 106010150531. The next prime is 106010150591. The reversal of 106010150561 is 165051010601.

It is an interprime number because it is at equal distance from previous prime (106010150531) and next prime (106010150591).

It is a cyclic number.

It is not a de Polignac number, because 106010150561 - 2¹⁴ = 106010134177 is a prime.

It is a super-2 number, since 2×106010150561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106010150561.

It is not an unprimeable number, because it can be changed into a prime (106010150531) 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 15 ways as a sum of consecutive naturals, for example, 26965766 + ... + 26969696.

It is an arithmetic number, because the mean of its divisors is an integer number (7583058600).

Almost surely, 2^106010150561 is an apocalyptic number.

It is an amenable number.

106010150561 is a deficient number, since it is larger than the sum of its proper divisors (15318787039).

106010150561 is a wasteful number, since it uses less digits than its factorization.

106010150561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 106010150561 in words is "one hundred six billion, ten million, one hundred fifty thousand, five hundred sixty-one".