106430464 has 80 divisors (see below), whose sum is σ = 251658000. Its totient is φ = 44040192.

The previous prime is 106430449. The next prime is 106430473. The reversal of 106430464 is 464034601.

It is a happy number.

It is a super-2 number, since 2×106430464² = 22654887334510592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3670002 + ... + 3670030.

It is an arithmetic number, because the mean of its divisors is an integer number (3145725).

Almost surely, 2^106430464 is an apocalyptic number.

106430464 is a gapful number since it is divisible by the number (14) 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 106430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125829000).

106430464 is an abundant number, since it is smaller than the sum of its proper divisors (145227536).

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

106430464 is an frugal number, since it uses more digits than its factorization.

106430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 106430464 is about 10316.5141399603. The cubic root of 106430464 is about 473.9021203534.

The spelling of 106430464 in words is "one hundred six million, four hundred thirty thousand, four hundred sixty-four".