106572180 has 96 divisors (see below), whose sum is σ = 350598528. Its totient is φ = 23846400.

The previous prime is 106572127. The next prime is 106572199. The reversal of 106572180 is 81275601.

It is a super-2 number, since 2×106572180² = 22715259099904800, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370 + ... + 14790.

It is an arithmetic number, because the mean of its divisors is an integer number (3652068).

Almost surely, 2^106572180 is an apocalyptic number.

106572180 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 106572180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175299264).

106572180 is an abundant number, since it is smaller than the sum of its proper divisors (244026348).

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

106572180 is a wasteful number, since it uses less digits than its factorization.

106572180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12457 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 106572180 is about 10323.3802603605. The cubic root of 106572180 is about 474.1123663173.

The spelling of 106572180 in words is "one hundred six million, five hundred seventy-two thousand, one hundred eighty".