106311040 has 64 divisors (see below), whose sum is σ = 277272720. Its totient is φ = 38656000.

The previous prime is 106311019. The next prime is 106311043. The reversal of 106311040 is 40113601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106311040² = 22604074451763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106311043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 14590.

Almost surely, 2^106311040 is an apocalyptic number.

106311040 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 106311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636360).

106311040 is an abundant number, since it is smaller than the sum of its proper divisors (170961680).

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

106311040 is a wasteful number, since it uses less digits than its factorization.

106311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 106311040 is about 10310.7245138254. The cubic root of 106311040 is about 473.7248012346.

Adding to 106311040 its reverse (40113601), we get a palindrome (146424641).

The spelling of 106311040 in words is "one hundred six million, three hundred eleven thousand, forty".