106111777 has 8 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 103412400.

The previous prime is 106111771. The next prime is 106111829. The reversal of 106111777 is 777111601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106111777 - 2¹⁵ = 106079009 is a prime.

It is a super-2 number, since 2×106111777² = 22519418436195458, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106111771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1374 + ... + 14632.

It is an arithmetic number, because the mean of its divisors is an integer number (13604760).

Almost surely, 2^106111777 is an apocalyptic number.

It is an amenable number.

106111777 is a deficient number, since it is larger than the sum of its proper divisors (2726303).

106111777 is a wasteful number, since it uses less digits than its factorization.

106111777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463.

The product of its (nonzero) digits is 2058, while the sum is 31.

The square root of 106111777 is about 10301.0570816786. The cubic root of 106111777 is about 473.4286423937.

The spelling of 106111777 in words is "one hundred six million, one hundred eleven thousand, seven hundred seventy-seven".