106561380 has 24 divisors (see below), whose sum is σ = 298372032. Its totient is φ = 28416352.

The previous prime is 106561379. The next prime is 106561381. The reversal of 106561380 is 83165601.

It is an interprime number because it is at equal distance from previous prime (106561379) and next prime (106561381).

It is a super-2 number, since 2×106561380² = 22710655415008800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106561381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887952 + ... + 888071.

It is an arithmetic number, because the mean of its divisors is an integer number (12432168).

Almost surely, 2^106561380 is an apocalyptic number.

106561380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106561380 is an abundant number, since it is smaller than the sum of its proper divisors (191810652).

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

106561380 is a wasteful number, since it uses less digits than its factorization.

106561380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776035 (or 1776033 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106561380 is about 10322.8571626270. The cubic root of 106561380 is about 474.0963502972.

The spelling of 106561380 in words is "one hundred six million, five hundred sixty-one thousand, three hundred eighty".