106020560 has 40 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 42238592.

The previous prime is 106020559. The next prime is 106020583. The reversal of 106020560 is 65020601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106020560² = 22480718285427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18521 + ... + 23559.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^106020560 is an apocalyptic number.

106020560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106020560 is an abundant number, since it is smaller than the sum of its proper divisors (141463600).

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

106020560 is a wasteful number, since it uses less digits than its factorization.

106020560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106020560 is about 10296.6285744412. The cubic root of 106020560 is about 473.2929454838.

The spelling of 106020560 in words is "one hundred six million, twenty thousand, five hundred sixty".