106435040 has 48 divisors (see below), whose sum is σ = 253843632. Its totient is φ = 42169344.

The previous prime is 106435037. The next prime is 106435067. The reversal of 106435040 is 40534601.

It is a happy number.

It is a super-2 number, since 2×106435040² = 22656835479603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106434997 and 106435015.

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, 14012 + ... + 20228.

It is an arithmetic number, because the mean of its divisors is an integer number (5288409).

Almost surely, 2^106435040 is an apocalyptic number.

106435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126921816).

106435040 is an abundant number, since it is smaller than the sum of its proper divisors (147408592).

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

106435040 is a wasteful number, since it uses less digits than its factorization.

106435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 106435040 is about 10316.7359179151. The cubic root of 106435040 is about 473.9089120963.

Adding to 106435040 its reverse (40534601), we get a palindrome (146969641).

The spelling of 106435040 in words is "one hundred six million, four hundred thirty-five thousand, forty".