106413040 has 40 divisors (see below), whose sum is σ = 253452528. Its totient is φ = 41525760.

The previous prime is 106413023. The next prime is 106413107. The reversal of 106413040 is 40314601.

It is a happy number.

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

It is a super-2 number, since 2×106413040² = 22647470164083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106412999 and 106413017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12942 + ... + 19501.

Almost surely, 2^106413040 is an apocalyptic number.

106413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106413040 is an abundant number, since it is smaller than the sum of its proper divisors (147039488).

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

106413040 is a wasteful number, since it uses less digits than its factorization.

106413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32497 (or 32491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106413040 is about 10315.6696341052. The cubic root of 106413040 is about 473.8762577044.

Adding to 106413040 its reverse (40314601), we get a palindrome (146727641).

The spelling of 106413040 in words is "one hundred six million, four hundred thirteen thousand, forty".