106772820 has 192 divisors, whose sum is σ = 377782272. Its totient is φ = 22070400.

The previous prime is 106772819. The next prime is 106772821. The reversal of 106772820 is 28277601.

It is an interprime number because it is at equal distance from previous prime (106772819) and next prime (106772821).

It is a super-2 number, since 2×106772820² = 22800870181504800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106772821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558925 + ... + 559115.

It is an arithmetic number, because the mean of its divisors is an integer number (1967616).

Almost surely, 2^106772820 is an apocalyptic number.

106772820 is a gapful number since it is divisible by the number (10) 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 106772820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188891136).

106772820 is an abundant number, since it is smaller than the sum of its proper divisors (271009452).

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

106772820 is a wasteful number, since it uses less digits than its factorization.

106772820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 106772820 is about 10333.0934380756. The cubic root of 106772820 is about 474.4097118057.

The spelling of 106772820 in words is "one hundred six million, seven hundred seventy-two thousand, eight hundred twenty".