106967484 has 144 divisors (see below), whose sum is σ = 307716864. Its totient is φ = 31104000.

The previous prime is 106967479. The next prime is 106967489. The reversal of 106967484 is 484769601.

106967484 is a `hidden beast` number, since 106 + 9 + 67 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (106967479) and next prime (106967489).

It is a super-2 number, since 2×106967484² = 22884085266580512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106967489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059034 + ... + 1059134.

Almost surely, 2^106967484 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 106967484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153858432).

106967484 is an abundant number, since it is smaller than the sum of its proper divisors (200749380).

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

106967484 is a wasteful number, since it uses less digits than its factorization.

106967484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106967484 is about 10342.5085931799. The cubic root of 106967484 is about 474.6978451392.

The spelling of 106967484 in words is "one hundred six million, nine hundred sixty-seven thousand, four hundred eighty-four".