106764336 has 90 divisors (see below), whose sum is σ = 347597172. Its totient is φ = 30502080.

The previous prime is 106764323. The next prime is 106764349. The reversal of 106764336 is 633467601.

It is a happy number.

106764336 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 643 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106764323) and next prime (106764349).

It is a super-2 number, since 2×106764336² = 22797246883041792, 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 106764336.

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 17 ways as a sum of consecutive naturals, for example, 510 + ... + 14621.

Almost surely, 2^106764336 is an apocalyptic number.

106764336 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 106764336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173798586).

106764336 is an abundant number, since it is smaller than the sum of its proper divisors (240832836).

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

106764336 is a wasteful number, since it uses less digits than its factorization.

106764336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15159 (or 15143 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 106764336 is about 10332.6829042606. The cubic root of 106764336 is about 474.3971461902.

The spelling of 106764336 in words is "one hundred six million, seven hundred sixty-four thousand, three hundred thirty-six".