106429820 has 96 divisors (see below), whose sum is σ = 267079680. Its totient is φ = 34859520.

The previous prime is 106429819. The next prime is 106429831. The reversal of 106429820 is 28924601.

It is a super-2 number, since 2×106429820² = 22654613170464800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594491 + ... + 594669.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 2^106429820 is an apocalyptic number.

106429820 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 106429820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

106429820 is an abundant number, since it is smaller than the sum of its proper divisors (160649860).

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

106429820 is a wasteful number, since it uses less digits than its factorization.

106429820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 106429820 is about 10316.4829278199. The cubic root of 106429820 is about 473.9011645068.

The spelling of 106429820 in words is "one hundred six million, four hundred twenty-nine thousand, eight hundred twenty".