106193440 has 24 divisors (see below), whose sum is σ = 250882380. Its totient is φ = 42477312.

The previous prime is 106193429. The next prime is 106193453. The reversal of 106193440 is 44391601.

It can be written as a sum of positive squares in 2 ways, for example, as 105103504 + 1089936 = 10252^2 + 1044^2 .

It is a super-2 number, since 2×106193440² = 22554093398067200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106193399 and 106193408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331695 + ... + 332014.

Almost surely, 2^106193440 is an apocalyptic number.

106193440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106193440 is an abundant number, since it is smaller than the sum of its proper divisors (144688940).

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

106193440 is an equidigital number, since it uses as much as digits as its factorization.

106193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663724 (or 663716 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 106193440 is about 10305.0201358367. The cubic root of 106193440 is about 473.5500605518.

The spelling of 106193440 in words is "one hundred six million, one hundred ninety-three thousand, four hundred forty".