106026960 has 160 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 24551424.

The previous prime is 106026919. The next prime is 106026979. The reversal of 106026960 is 69620601.

It is a super-2 number, since 2×106026960² = 22483432493683200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52041 + ... + 54039.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^106026960 is an apocalyptic number.

106026960 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 106026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

106026960 is an abundant number, since it is smaller than the sum of its proper divisors (268949040).

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

106026960 is a wasteful number, since it uses less digits than its factorization.

106026960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 106026960 is about 10296.9393510887. The cubic root of 106026960 is about 473.3024688376.

The spelling of 106026960 in words is "one hundred six million, twenty-six thousand, nine hundred sixty".