106628000610 has 128 divisors (see below), whose sum is σ = 275719852800. Its totient is φ = 26292510720.

The previous prime is 106628000597. The next prime is 106628000617. The reversal of 106628000610 is 16000826601.

It is a super-2 number, since 2×106628000610² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106628000617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40099461 + ... + 40102119.

It is an arithmetic number, because the mean of its divisors is an integer number (2154061350).

Almost surely, 2^106628000610 is an apocalyptic number.

106628000610 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 106628000610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137859926400).

106628000610 is an abundant number, since it is smaller than the sum of its proper divisors (169091852190).

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

106628000610 is a wasteful number, since it uses less digits than its factorization.

106628000610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 106628000610 in words is "one hundred six billion, six hundred twenty-eight million, six hundred ten", and thus it is an aban number.