106196160 has 112 divisors (see below), whose sum is σ = 385364736. Its totient is φ = 24271872.

The previous prime is 106196159. The next prime is 106196177. The reversal of 106196160 is 61691601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106196160² = 22555248797491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182 + ... + 14621.

Almost surely, 2^106196160 is an apocalyptic number.

106196160 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 106196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192682368).

106196160 is an abundant number, since it is smaller than the sum of its proper divisors (279168576).

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

106196160 is a wasteful number, since it uses less digits than its factorization.

106196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 106196160 is about 10305.1521095033. The cubic root of 106196160 is about 473.5541036300.

The spelling of 106196160 in words is "one hundred six million, one hundred ninety-six thousand, one hundred sixty".