106087410 has 96 divisors (see below), whose sum is σ = 324088128. Its totient is φ = 23736960.

The previous prime is 106087403. The next prime is 106087417. The reversal of 106087410 is 14780601.

It is a happy number.

106087410 is a `hidden beast` number, since 10 + 608 + 7 + 41 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106087403) and next prime (106087417).

It is a super-2 number, since 2×106087410² = 22509077121016200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106087417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8749 + ... + 16991.

It is an arithmetic number, because the mean of its divisors is an integer number (3375918).

Almost surely, 2^106087410 is an apocalyptic number.

106087410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106087410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162044064).

106087410 is an abundant number, since it is smaller than the sum of its proper divisors (218000718).

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

106087410 is a wasteful number, since it uses less digits than its factorization.

106087410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106087410 is about 10299.8742710773. The cubic root of 106087410 is about 473.3924009911.

The spelling of 106087410 in words is "one hundred six million, eighty-seven thousand, four hundred ten".