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106571220 = 22357253741
BaseRepresentation
bin1100101101000…
…10010111010100
321102112101020020
412112202113110
5204240234340
614324105140
72432561160
oct626422724
9242471206
10106571220
115517a598
122b8351b0
13191047c2
1410221ca0
1595519d0
hex65a25d4

106571220 has 48 divisors (see below), whose sum is σ = 341029248. Its totient is φ = 24359040.

The previous prime is 106571219. The next prime is 106571221. The reversal of 106571220 is 22175601.

It is an interprime number because it is at equal distance from previous prime (106571219) and next prime (106571221).

It is a super-2 number, since 2×1065712202 = 22714849864576800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106571221) 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 15 ways as a sum of consecutive naturals, for example, 126451 + ... + 127290.

It is an arithmetic number, because the mean of its divisors is an integer number (7104776).

Almost surely, 2106571220 is an apocalyptic number.

106571220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106571220 is an abundant number, since it is smaller than the sum of its proper divisors (234458028).

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

106571220 is a wasteful number, since it uses less digits than its factorization.

106571220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253760 (or 253758 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106571220 is about 10323.3337638575. Note that the first 3 decimals coincide. The cubic root of 106571220 is about 474.1109427149.

The spelling of 106571220 in words is "one hundred six million, five hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 253741 507482 761223 1014964 1268705 1522446 1776187 2537410 3044892 3552374 3806115 5074820 5328561 7104748 7612230 8880935 10657122 15224460 17761870 21314244 26642805 35523740 53285610 106571220