106406430 has 64 divisors (see below), whose sum is σ = 276369408. Its totient is φ = 26064000.

The previous prime is 106406411. The next prime is 106406431. The reversal of 106406430 is 34604601.

It is a super-2 number, since 2×106406430² = 22644656690689800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106406430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106406431) 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, 97347 + ... + 98433.

It is an arithmetic number, because the mean of its divisors is an integer number (4318272).

Almost surely, 2^106406430 is an apocalyptic number.

106406430 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 106406430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138184704).

106406430 is an abundant number, since it is smaller than the sum of its proper divisors (169962978).

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

106406430 is a wasteful number, since it uses less digits than its factorization.

106406430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106406430 is about 10315.3492427547. The cubic root of 106406430 is about 473.8664456647.

The spelling of 106406430 in words is "one hundred six million, four hundred six thousand, four hundred thirty".