106194192 has 160 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 30371328.

The previous prime is 106194169. The next prime is 106194217. The reversal of 106194192 is 291491601.

106194192 = T₃₉₃ + T₃₉₄ + ... + T₈₈₆.

It is a super-2 number, since 2×106194192² = 22554412829065728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003638 + ... + 2003690.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^106194192 is an apocalyptic number.

106194192 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 106194192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

106194192 is an abundant number, since it is smaller than the sum of its proper divisors (212535408).

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

106194192 is a wasteful number, since it uses less digits than its factorization.

106194192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 106194192 is about 10305.0566228430. The cubic root of 106194192 is about 473.5511783509.

The spelling of 106194192 in words is "one hundred six million, one hundred ninety-four thousand, one hundred ninety-two".