106766296 has 128 divisors (see below), whose sum is σ = 261072000. Its totient is φ = 40642560.

The previous prime is 106766293. The next prime is 106766329. The reversal of 106766296 is 692667601.

It is a super-2 number, since 2×106766296² = 22798083923119232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106766293) 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, 1462516 + ... + 1462588.

It is an arithmetic number, because the mean of its divisors is an integer number (2039625).

Almost surely, 2^106766296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106766296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130536000).

106766296 is an abundant number, since it is smaller than the sum of its proper divisors (154305704).

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

106766296 is a wasteful number, since it uses less digits than its factorization.

106766296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 106766296 is about 10332.7777485050. Note that the first 4 decimals coincide. The cubic root of 106766296 is about 474.4000491968.

The spelling of 106766296 in words is "one hundred six million, seven hundred sixty-six thousand, two hundred ninety-six".