106400024 has 32 divisors (see below), whose sum is σ = 210712320. Its totient is φ = 50266656.

The previous prime is 106399987. The next prime is 106400071. The reversal of 106400024 is 420004601.

It is a super-2 number, since 2×106400024² = 22641930214401152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106399975 and 106400011.

It is a congruent number.

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, 11789 + ... + 18755.

It is an arithmetic number, because the mean of its divisors is an integer number (6584760).

Almost surely, 2^106400024 is an apocalyptic number.

It is an amenable number.

106400024 is a deficient number, since it is larger than the sum of its proper divisors (104312296).

106400024 is a wasteful number, since it uses less digits than its factorization.

106400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 106400024 is about 10315.0387299321. The cubic root of 106400024 is about 473.8569360597.

Adding to 106400024 its reverse (420004601), we get a palindrome (526404625).

The spelling of 106400024 in words is "one hundred six million, four hundred thousand, twenty-four".