106824270 has 128 divisors (see below), whose sum is σ = 316431360. Its totient is φ = 22533120.

The previous prime is 106824269. The next prime is 106824271. The reversal of 106824270 is 72428601.

It is an interprime number because it is at equal distance from previous prime (106824269) and next prime (106824271).

It is a super-2 number, since 2×106824270² = 22822849322065800, 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 (106824271) 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, 163264 + ... + 163916.

It is an arithmetic number, because the mean of its divisors is an integer number (2472120).

Almost surely, 2^106824270 is an apocalyptic number.

106824270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106824270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158215680).

106824270 is an abundant number, since it is smaller than the sum of its proper divisors (209607090).

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

106824270 is a wasteful number, since it uses less digits than its factorization.

106824270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730.

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

The square root of 106824270 is about 10335.5827121648. The cubic root of 106824270 is about 474.4858999224.

The spelling of 106824270 in words is "one hundred six million, eight hundred twenty-four thousand, two hundred seventy".