106705430 has 64 divisors (see below), whose sum is σ = 223388928. Its totient is φ = 36341760.

The previous prime is 106705427. The next prime is 106705451. The reversal of 106705430 is 34507601.

It is a super-2 number, since 2×106705430² = 22772097582969800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106705430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116675 + ... + 117585.

It is an arithmetic number, because the mean of its divisors is an integer number (3490452).

Almost surely, 2^106705430 is an apocalyptic number.

106705430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106705430 is an abundant number, since it is smaller than the sum of its proper divisors (116683498).

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

106705430 is a wasteful number, since it uses less digits than its factorization.

106705430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 106705430 is about 10329.8320412289. The cubic root of 106705430 is about 474.3098824080.

The spelling of 106705430 in words is "one hundred six million, seven hundred five thousand, four hundred thirty".