106175040 has 112 divisors (see below), whose sum is σ = 354909120. Its totient is φ = 26818560.

The previous prime is 106175009. The next prime is 106175051. The reversal of 106175040 is 40571601.

It is a super-2 number, since 2×106175040² = 22546278238003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106175040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15330 + ... + 21150.

Almost surely, 2^106175040 is an apocalyptic number.

106175040 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 106175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177454560).

106175040 is an abundant number, since it is smaller than the sum of its proper divisors (248734080).

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

106175040 is a wasteful number, since it uses less digits than its factorization.

106175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106175040 is about 10304.1273284058. The cubic root of 106175040 is about 473.5227085031.

The spelling of 106175040 in words is "one hundred six million, one hundred seventy-five thousand, forty".