106410840 has 64 divisors (see below), whose sum is σ = 324488160. Its totient is φ = 27909120.

The previous prime is 106410797. The next prime is 106410841. The reversal of 106410840 is 48014601.

It is a super-2 number, since 2×106410840² = 22646533739011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106410840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106410841) 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, 52 + ... + 14588.

Almost surely, 2^106410840 is an apocalyptic number.

106410840 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 106410840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162244080).

106410840 is an abundant number, since it is smaller than the sum of its proper divisors (218077320).

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

106410840 is a wasteful number, since it uses less digits than its factorization.

106410840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 106410840 is about 10315.5629996622. The cubic root of 106410840 is about 473.8729920177.

The spelling of 106410840 in words is "one hundred six million, four hundred ten thousand, eight hundred forty".