106034610 has 128 divisors (see below), whose sum is σ = 301771008. Its totient is φ = 23552000.

The previous prime is 106034581. The next prime is 106034633. The reversal of 106034610 is 16430601.

It is a super-2 number, since 2×106034610² = 22486677035704200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229780 + ... + 230240.

It is an arithmetic number, because the mean of its divisors is an integer number (2357586).

Almost surely, 2^106034610 is an apocalyptic number.

106034610 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 106034610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504).

106034610 is an abundant number, since it is smaller than the sum of its proper divisors (195736398).

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

106034610 is a wasteful number, since it uses less digits than its factorization.

106034610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106034610 is about 10297.3108139941. The cubic root of 106034610 is about 473.3138517186.

The spelling of 106034610 in words is "one hundred six million, thirty-four thousand, six hundred ten".