106080192 has 168 divisors, whose sum is σ = 332841600. Its totient is φ = 33405696.

The previous prime is 106080151. The next prime is 106080203. The reversal of 106080192 is 291080601.

It is a super-2 number, since 2×106080192² = 22506014269513728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295309 + ... + 295667.

It is an arithmetic number, because the mean of its divisors is an integer number (1981200).

Almost surely, 2^106080192 is an apocalyptic number.

106080192 is a gapful number since it is divisible by the number (12) 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 106080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

106080192 is an abundant number, since it is smaller than the sum of its proper divisors (226761408).

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

106080192 is an equidigital number, since it uses as much as digits as its factorization.

106080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 106080192 is about 10299.5238724904. The cubic root of 106080192 is about 473.3816644867.

The spelling of 106080192 in words is "one hundred six million, eighty thousand, one hundred ninety-two".