106057560 has 192 divisors, whose sum is σ = 392260320. Its totient is φ = 22794240.

The previous prime is 106057547. The next prime is 106057561. The reversal of 106057560 is 65750601.

It is a super-2 number, since 2×106057560² = 22496412066307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 99430 + ... + 100490.

Almost surely, 2^106057560 is an apocalyptic number.

106057560 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 106057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196130160).

106057560 is an abundant number, since it is smaller than the sum of its proper divisors (286202760).

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

106057560 is a wasteful number, since it uses less digits than its factorization.

106057560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 106057560 is about 10298.4251223185. The cubic root of 106057560 is about 473.3479970771.

The spelling of 106057560 in words is "one hundred six million, fifty-seven thousand, five hundred sixty".