106177820 has 48 divisors (see below), whose sum is σ = 259025088. Its totient is φ = 35804160.

The previous prime is 106177789. The next prime is 106177829. The reversal of 106177820 is 28771601.

It is a super-2 number, since 2×106177820² = 22547458919904800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106177829) 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 15 ways as a sum of consecutive naturals, for example, 2324 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (5396356).

Almost surely, 2^106177820 is an apocalyptic number.

106177820 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 106177820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129512544).

106177820 is an abundant number, since it is smaller than the sum of its proper divisors (152847268).

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

106177820 is a wasteful number, since it uses less digits than its factorization.

106177820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 106177820 is about 10304.2622249242. The cubic root of 106177820 is about 473.5268412435.

The spelling of 106177820 in words is "one hundred six million, one hundred seventy-seven thousand, eight hundred twenty".