106289430 has 32 divisors (see below), whose sum is σ = 274718304. Its totient is φ = 26163456.

The previous prime is 106289429. The next prime is 106289431. The reversal of 106289430 is 34982601.

It is an interprime number because it is at equal distance from previous prime (106289429) and next prime (106289431).

It is a super-2 number, since 2×106289430² = 22594885859449800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106289391 and 106289400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106289431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135879 + ... + 136658.

It is an arithmetic number, because the mean of its divisors is an integer number (8584947).

Almost surely, 2^106289430 is an apocalyptic number.

106289430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106289430 is an abundant number, since it is smaller than the sum of its proper divisors (168428874).

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

106289430 is a wasteful number, since it uses less digits than its factorization.

106289430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272560.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 106289430 is about 10309.6765225685. The cubic root of 106289430 is about 473.6927008160.

The spelling of 106289430 in words is "one hundred six million, two hundred eighty-nine thousand, four hundred thirty".