106434000 has 280 divisors, whose sum is σ = 391145352. Its totient is φ = 27993600.

The previous prime is 106433983. The next prime is 106434023. The reversal of 106434000 is 434601.

106434000 = T₁₆₇₁ + T₁₆₇₂ + ... + T₁₇₄₃.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 103063104 = 1836^2 + 10152^2 .

It is a super-2 number, since 2×106434000² = 22656392712000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1457964 + ... + 1458036.

Almost surely, 2^106434000 is an apocalyptic number.

106434000 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 106434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195572676).

106434000 is an abundant number, since it is smaller than the sum of its proper divisors (284711352).

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

106434000 is an frugal number, since it uses more digits than its factorization.

106434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106434000 is about 10316.6855142531. The cubic root of 106434000 is about 473.9073685354.

Adding to 106434000 its reverse (434601), we get a palindrome (106868601).

The spelling of 106434000 in words is "one hundred six million, four hundred thirty-four thousand".