106311744 has 448 divisors, whose sum is σ = 421355520. Its totient is φ = 25436160.

The previous prime is 106311739. The next prime is 106311757. The reversal of 106311744 is 447113601.

It is a happy number.

106311744 is a `hidden beast` number, since 10 + 631 + 17 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106311744² = 22604373824643072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261929 + ... + 2261975.

Almost surely, 2^106311744 is an apocalyptic number.

106311744 is a gapful number since it is divisible by the number (14) 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 106311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210677760).

106311744 is an abundant number, since it is smaller than the sum of its proper divisors (315043776).

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

106311744 is a wasteful number, since it uses less digits than its factorization.

106311744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106311744 is about 10310.7586529799. The cubic root of 106311744 is about 473.7258469132.

The spelling of 106311744 in words is "one hundred six million, three hundred eleven thousand, seven hundred forty-four".