106777332 has 48 divisors (see below), whose sum is σ = 277979520. Its totient is φ = 35444736.

The previous prime is 106777331. The next prime is 106777369. The reversal of 106777332 is 233777601.

It is a super-2 number, since 2×106777332² = 22802797258076448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106777331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25833 + ... + 29679.

It is an arithmetic number, because the mean of its divisors is an integer number (5791240).

Almost surely, 2^106777332 is an apocalyptic number.

106777332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106777332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138989760).

106777332 is an abundant number, since it is smaller than the sum of its proper divisors (171202188).

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

106777332 is a wasteful number, since it uses less digits than its factorization.

106777332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 106777332 is about 10333.3117634183. The cubic root of 106777332 is about 474.4163942381.

The spelling of 106777332 in words is "one hundred six million, seven hundred seventy-seven thousand, three hundred thirty-two".