106411840 has 112 divisors (see below), whose sum is σ = 277392384. Its totient is φ = 38707200.

The previous prime is 106411831. The next prime is 106411847. The reversal of 106411840 is 48114601.

It is a super-2 number, since 2×106411840² = 22646959384371200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106411847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168325 + ... + 168955.

Almost surely, 2^106411840 is an apocalyptic number.

106411840 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 106411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138696192).

106411840 is an abundant number, since it is smaller than the sum of its proper divisors (170980544).

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

106411840 is a wasteful number, since it uses less digits than its factorization.

106411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 106411840 is about 10315.6114700002. The cubic root of 106411840 is about 473.8744764264.

The spelling of 106411840 in words is "one hundred six million, four hundred eleven thousand, eight hundred forty".