106634736 has 60 divisors (see below), whose sum is σ = 321390888. Its totient is φ = 32810112.

The previous prime is 106634729. The next prime is 106634743. The reversal of 106634736 is 637436601.

It is a happy number.

106634736 is a `hidden beast` number, since 10 + 6 + 634 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106634729) and next prime (106634743).

It is a super-2 number, since 2×106634736² = 22741933843579392, 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 106634736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26610 + ... + 30353.

Almost surely, 2^106634736 is an apocalyptic number.

106634736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106634736 is an abundant number, since it is smaller than the sum of its proper divisors (214756152).

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

106634736 is a wasteful number, since it uses less digits than its factorization.

106634736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56990 (or 56981 counting only the distinct ones).

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

The square root of 106634736 is about 10326.4096374297. The cubic root of 106634736 is about 474.2051133865.

The spelling of 106634736 in words is "one hundred six million, six hundred thirty-four thousand, seven hundred thirty-six".