106686762 has 64 divisors (see below), whose sum is σ = 269762304. Its totient is φ = 27371520.

The previous prime is 106686761. The next prime is 106686763. The reversal of 106686762 is 267686601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106686761) and next prime (106686763).

It is a super-2 number, since 2×106686762² = 22764130372089288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106686761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17562 + ... + 22842.

It is an arithmetic number, because the mean of its divisors is an integer number (4215036).

Almost surely, 2^106686762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106686762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134881152).

106686762 is an abundant number, since it is smaller than the sum of its proper divisors (163075542).

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

106686762 is a wasteful number, since it uses less digits than its factorization.

106686762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 106686762 is about 10328.9284052122. The cubic root of 106686762 is about 474.2822207939.

The spelling of 106686762 in words is "one hundred six million, six hundred eighty-six thousand, seven hundred sixty-two".