106574040 has 96 divisors (see below), whose sum is σ = 364618800. Its totient is φ = 26922240.

The previous prime is 106574011. The next prime is 106574057. The reversal of 106574040 is 40475601.

106574040 is a `hidden beast` number, since 1 + 0 + 657 + 4 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×106574040² = 22716052003843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106573995 and 106574013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951 + ... + 14630.

Almost surely, 2^106574040 is an apocalyptic number.

106574040 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 106574040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182309400).

106574040 is an abundant number, since it is smaller than the sum of its proper divisors (258044760).

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

106574040 is a wasteful number, since it uses less digits than its factorization.

106574040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15617 (or 15610 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106574040 is about 10323.4703467390. The cubic root of 106574040 is about 474.1151245227.

The spelling of 106574040 in words is "one hundred six million, five hundred seventy-four thousand, forty".