106153410 has 64 divisors (see below), whose sum is σ = 279189504. Its totient is φ = 25617600.

The previous prime is 106153409. The next prime is 106153417. The reversal of 106153410 is 14351601.

It is a super-2 number, since 2×106153410² = 22537092909256200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106153417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88837 + ... + 90023.

It is an arithmetic number, because the mean of its divisors is an integer number (4362336).

Almost surely, 2^106153410 is an apocalyptic number.

106153410 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 106153410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139594752).

106153410 is an abundant number, since it is smaller than the sum of its proper divisors (173036094).

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

106153410 is a wasteful number, since it uses less digits than its factorization.

106153410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106153410 is about 10303.0776955238. The cubic root of 106153410 is about 473.4905509396.

The spelling of 106153410 in words is "one hundred six million, one hundred fifty-three thousand, four hundred ten".