106189056 has 126 divisors (see below), whose sum is σ = 318358110. Its totient is φ = 35334144.

The previous prime is 106189049. The next prime is 106189063. The reversal of 106189056 is 650981601.

It is an interprime number because it is at equal distance from previous prime (106189049) and next prime (106189063).

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 31539456 = 8640^2 + 5616^2 .

It is a super-2 number, since 2×106189056² = 22552231228342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106189056.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186340 + ... + 186908.

Almost surely, 2^106189056 is an apocalyptic number.

106189056 is a gapful number since it is divisible by the number (16) 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 106189056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159179055).

106189056 is an abundant number, since it is smaller than the sum of its proper divisors (212169054).

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

106189056 is an frugal number, since it uses more digits than its factorization.

106189056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106189056 is about 10304.8074217814. The cubic root of 106189056 is about 473.5435439156.

The spelling of 106189056 in words is "one hundred six million, one hundred eighty-nine thousand, fifty-six".