106561020 has 48 divisors (see below), whose sum is σ = 302470560. Its totient is φ = 28025856.

The previous prime is 106561003. The next prime is 106561031. The reversal of 106561020 is 20165601.

It is a happy number.

It is a super-2 number, since 2×106561020² = 22710501966880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7785 + ... + 16544.

It is an arithmetic number, because the mean of its divisors is an integer number (6301470).

Almost surely, 2^106561020 is an apocalyptic number.

106561020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106561020 is an abundant number, since it is smaller than the sum of its proper divisors (195909540).

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

106561020 is a wasteful number, since it uses less digits than its factorization.

106561020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24414 (or 24412 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106561020 is about 10322.8397255794. The cubic root of 106561020 is about 474.0958164113.

The spelling of 106561020 in words is "one hundred six million, five hundred sixty-one thousand, twenty".