106194240 has 280 divisors, whose sum is σ = 401631912. Its totient is φ = 26542080.

The previous prime is 106194239. The next prime is 106194247. The reversal of 106194240 is 42491601.

106194240 is a `hidden beast` number, since 1 + 0 + 619 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34012224 + 72182016 = 5832^2 + 8496^2 .

It is a super-2 number, since 2×106194240² = 22554433218355200, 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 not an unprimeable number, because it can be changed into a prime (106194247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440520 + ... + 440760.

Almost surely, 2^106194240 is an apocalyptic number.

106194240 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 106194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200815956).

106194240 is an abundant number, since it is smaller than the sum of its proper divisors (295437672).

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

106194240 is a wasteful number, since it uses less digits than its factorization.

106194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106194240 is about 10305.0589517964. The cubic root of 106194240 is about 473.5512496996.

The spelling of 106194240 in words is "one hundred six million, one hundred ninety-four thousand, two hundred forty".