106777476 has 72 divisors (see below), whose sum is σ = 307793304. Its totient is φ = 30919680.

The previous prime is 106777453. The next prime is 106777481. The reversal of 106777476 is 674777601.

106777476 is a `hidden beast` number, since 106 + 7 + 77 + 476 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 71064900 = 5976^2 + 8430^2 .

It is a super-2 number, since 2×106777476² = 22802858761861152, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1246 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (4274907).

Almost surely, 2^106777476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106777476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153896652).

106777476 is an abundant number, since it is smaller than the sum of its proper divisors (201015828).

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

106777476 is a wasteful number, since it uses less digits than its factorization.

106777476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13461 (or 13456 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 106777476 is about 10333.3187311725. The cubic root of 106777476 is about 474.4166075041.

The spelling of 106777476 in words is "one hundred six million, seven hundred seventy-seven thousand, four hundred seventy-six".