106253440 has 32 divisors (see below), whose sum is σ = 254013660. Its totient is φ = 42501120.

The previous prime is 106253429. The next prime is 106253443. The reversal of 106253440 is 44352601.

It can be written as a sum of positive squares in 2 ways, for example, as 96668224 + 9585216 = 9832^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106253440² = 22579587023667200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106253443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82371 + ... + 83650.

Almost surely, 2^106253440 is an apocalyptic number.

106253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106253440 is an abundant number, since it is smaller than the sum of its proper divisors (147760220).

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

106253440 is an equidigital number, since it uses as much as digits as its factorization.

106253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166040 (or 166028 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 106253440 is about 10307.9309272036. The cubic root of 106253440 is about 473.6392300715.

The spelling of 106253440 in words is "one hundred six million, two hundred fifty-three thousand, four hundred forty".