106526760 has 128 divisors (see below), whose sum is σ = 343180800. Its totient is φ = 26357760.

The previous prime is 106526753. The next prime is 106526779. The reversal of 106526760 is 67625601.

It is a super-2 number, since 2×106526760² = 22695901192195200, which contains 22 as substring.

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, 160830 + ... + 161490.

It is an arithmetic number, because the mean of its divisors is an integer number (2681100).

Almost surely, 2^106526760 is an apocalyptic number.

106526760 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 106526760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171590400).

106526760 is an abundant number, since it is smaller than the sum of its proper divisors (236654040).

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

106526760 is a wasteful number, since it uses less digits than its factorization.

106526760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106526760 is about 10321.1801650780. The cubic root of 106526760 is about 474.0450027595.

The spelling of 106526760 in words is "one hundred six million, five hundred twenty-six thousand, seven hundred sixty".