106827420 has 96 divisors (see below), whose sum is σ = 343300608. Its totient is φ = 24314112.

The previous prime is 106827419. The next prime is 106827421. The reversal of 106827420 is 24728601.

It is an interprime number because it is at equal distance from previous prime (106827419) and next prime (106827421).

It is a super-2 number, since 2×106827420² = 22824195327712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106827421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145374 + ... + 146106.

It is an arithmetic number, because the mean of its divisors is an integer number (3576048).

Almost surely, 2^106827420 is an apocalyptic number.

106827420 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 106827420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171650304).

106827420 is an abundant number, since it is smaller than the sum of its proper divisors (236473188).

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

106827420 is a wasteful number, since it uses less digits than its factorization.

106827420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 106827420 is about 10335.7350972246. The cubic root of 106827420 is about 474.4905637062.

The spelling of 106827420 in words is "one hundred six million, eight hundred twenty-seven thousand, four hundred twenty".