106340040 has 160 divisors (see below), whose sum is σ = 373222080. Its totient is φ = 27105408.

The previous prime is 106340029. The next prime is 106340053. The reversal of 106340040 is 40043601.

It is a super-2 number, since 2×106340040² = 22616408214403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106339995 and 106340022.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73807 + ... + 75233.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2^106340040 is an apocalyptic number.

106340040 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 106340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040).

106340040 is an abundant number, since it is smaller than the sum of its proper divisors (266882040).

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

106340040 is a wasteful number, since it uses less digits than its factorization.

106340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106340040 is about 10312.1307206610. The cubic root of 106340040 is about 473.7678722404.

Adding to 106340040 its reverse (40043601), we get a palindrome (146383641).

The spelling of 106340040 in words is "one hundred six million, three hundred forty thousand, forty".