106429440 has 264 divisors, whose sum is σ = 377597808. Its totient is φ = 25559040.

The previous prime is 106429439. The next prime is 106429483. The reversal of 106429440 is 44924601.

It is a super-2 number, since 2×106429440² = 22654451397427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106429398 and 106429407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595820 + ... + 2595860.

Almost surely, 2^106429440 is an apocalyptic number.

106429440 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 106429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188798904).

106429440 is an abundant number, since it is smaller than the sum of its proper divisors (271168368).

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

106429440 is a wasteful number, since it uses less digits than its factorization.

106429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106429440 is about 10316.4645106742. The cubic root of 106429440 is about 473.9006004962.

The spelling of 106429440 in words is "one hundred six million, four hundred twenty-nine thousand, four hundred forty".