106030080 has 352 divisors, whose sum is σ = 412675200. Its totient is φ = 25657344.

The previous prime is 106030079. The next prime is 106030081. The reversal of 106030080 is 80030601.

It is an interprime number because it is at equal distance from previous prime (106030079) and next prime (106030081).

It is a super-2 number, since 2×106030080² = 22484755729612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106030081) 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, 1797091 + ... + 1797149.

Almost surely, 2^106030080 is an apocalyptic number.

106030080 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 106030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337600).

106030080 is an abundant number, since it is smaller than the sum of its proper divisors (306645120).

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

106030080 is a wasteful number, since it uses less digits than its factorization.

106030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106030080 is about 10297.0908513036. The cubic root of 106030080 is about 473.3071113336.

Adding to 106030080 its reverse (80030601), we get a palindrome (186060681).

The spelling of 106030080 in words is "one hundred six million, thirty thousand, eighty".