106276560 has 160 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 25006080.

The previous prime is 106276559. The next prime is 106276601. The reversal of 106276560 is 65672601.

It is a super-2 number, since 2×106276560² = 22589414410867200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 71020 + ... + 72500.

Almost surely, 2^106276560 is an apocalyptic number.

106276560 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 106276560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

106276560 is an abundant number, since it is smaller than the sum of its proper divisors (264199728).

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

106276560 is a wasteful number, since it uses less digits than its factorization.

106276560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1527 counting only the distinct ones).

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

The square root of 106276560 is about 10309.0523327802. The cubic root of 106276560 is about 473.6735811000.

The spelling of 106276560 in words is "one hundred six million, two hundred seventy-six thousand, five hundred sixty".