106791440 has 40 divisors (see below), whose sum is σ = 283761600. Its totient is φ = 36614016.

The previous prime is 106791439. The next prime is 106791463. The reversal of 106791440 is 44197601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106791440² = 22808823314547200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106791397 and 106791406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94790 + ... + 95909.

It is an arithmetic number, because the mean of its divisors is an integer number (7094040).

Almost surely, 2^106791440 is an apocalyptic number.

106791440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106791440 is an abundant number, since it is smaller than the sum of its proper divisors (176970160).

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

106791440 is a wasteful number, since it uses less digits than its factorization.

106791440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190719 (or 190713 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 106791440 is about 10333.9943874573. The cubic root of 106791440 is about 474.4372874733.

The spelling of 106791440 in words is "one hundred six million, seven hundred ninety-one thousand, four hundred forty".