106429824 has 48 divisors (see below), whose sum is σ = 306266220. Its totient is φ = 35476224.

The previous prime is 106429819. The next prime is 106429831. The reversal of 106429824 is 428924601.

106429824 is a `hidden beast` number, since 1 + 0 + 642 + 9 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106429824² = 22654614873341952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45042 + ... + 47345.

Almost surely, 2^106429824 is an apocalyptic number.

It is an amenable number.

106429824 is an abundant number, since it is smaller than the sum of its proper divisors (199836396).

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

106429824 is an equidigital number, since it uses as much as digits as its factorization.

106429824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92407 (or 92392 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106429824 is about 10316.4831216844. The cubic root of 106429824 is about 473.9011704438.

The spelling of 106429824 in words is "one hundred six million, four hundred twenty-nine thousand, eight hundred twenty-four".