106198736 has 40 divisors (see below), whose sum is σ = 235639680. Its totient is φ = 45419904.

The previous prime is 106198717. The next prime is 106198759. The reversal of 106198736 is 637891601.

It is a super-2 number, since 2×106198736² = 22556343055995392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106198693 and 106198702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98810 + ... + 99878.

It is an arithmetic number, because the mean of its divisors is an integer number (5890992).

Almost surely, 2^106198736 is an apocalyptic number.

106198736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106198736 is an abundant number, since it is smaller than the sum of its proper divisors (129440944).

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

106198736 is a wasteful number, since it uses less digits than its factorization.

106198736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 106198736 is about 10305.2770947704. The cubic root of 106198736 is about 473.5579325993.

The spelling of 106198736 in words is "one hundred six million, one hundred ninety-eight thousand, seven hundred thirty-six".