106867540 has 48 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 38183040.

The previous prime is 106867531. The next prime is 106867549. The reversal of 106867540 is 45768601.

It is an interprime number because it is at equal distance from previous prime (106867531) and next prime (106867549).

It is a super-2 number, since 2×106867540² = 22841342211303200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106867540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106867549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431 + ... + 14689.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2^106867540 is an apocalyptic number.

106867540 is a gapful number since it is divisible by the number (10) 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 106867540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

106867540 is an abundant number, since it is smaller than the sum of its proper divisors (142632620).

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

106867540 is a wasteful number, since it uses less digits than its factorization.

106867540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312 (or 13310 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 106867540 is about 10337.6757542496. The cubic root of 106867540 is about 474.5499560070.

The spelling of 106867540 in words is "one hundred six million, eight hundred sixty-seven thousand, five hundred forty".