106200560 has 40 divisors (see below), whose sum is σ = 247647840. Its totient is φ = 42354432.

The previous prime is 106200541. The next prime is 106200571. The reversal of 106200560 is 65002601.

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

It is a super-2 number, since 2×106200560² = 22557117888627200, 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, 28061 + ... + 31619.

It is an arithmetic number, because the mean of its divisors is an integer number (6191196).

Almost surely, 2^106200560 is an apocalyptic number.

106200560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106200560 is an abundant number, since it is smaller than the sum of its proper divisors (141447280).

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

106200560 is a wasteful number, since it uses less digits than its factorization.

106200560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3939 counting only the distinct ones).

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

The square root of 106200560 is about 10305.3655927386. The cubic root of 106200560 is about 473.5606437575.

The spelling of 106200560 in words is "one hundred six million, two hundred thousand, five hundred sixty".