106009792 has 56 divisors (see below), whose sum is σ = 246050816. Its totient is φ = 44368128.

The previous prime is 106009741. The next prime is 106009793. The reversal of 106009792 is 297900601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106009792² = 22476151999766528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106009793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16513 + ... + 22015.

Almost surely, 2^106009792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123025408).

106009792 is an abundant number, since it is smaller than the sum of its proper divisors (140041024).

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

106009792 is an equidigital number, since it uses as much as digits as its factorization.

106009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 106009792 is about 10296.1056715634. The cubic root of 106009792 is about 473.2769215762.

The spelling of 106009792 in words is "one hundred six million, nine thousand, seven hundred ninety-two".