180106377 has 16 divisors (see below), whose sum is σ = 275761920. Its totient is φ = 103410000.

The previous prime is 180106357. The next prime is 180106387. The reversal of 180106377 is 773601081.

It is not a de Polignac number, because 180106377 - 2¹⁵ = 180073609 is a prime.

It is a super-2 number, since 2×180106377² = 64876614072132258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (180106357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142999 + ... + 144252.

It is an arithmetic number, because the mean of its divisors is an integer number (17235120).

Almost surely, 2^180106377 is an apocalyptic number.

It is an amenable number.

180106377 is a deficient number, since it is larger than the sum of its proper divisors (95655543).

180106377 is a wasteful number, since it uses less digits than its factorization.

180106377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287284.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 180106377 is about 13420.3717161635. The cubic root of 180106377 is about 564.7328227465.

The spelling of 180106377 in words is "one hundred eighty million, one hundred six thousand, three hundred seventy-seven".