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106031232 = 273292041
BaseRepresentation
bin1100101000111…
…10100010000000
321101111221111200
412110132202000
5204120444412
614304341200
72425151646
oct624364200
9241457450
10106031232
115494091a
122b614800
1318c75a98
1410121196
1594969dc
hex651e880

106031232 has 48 divisors (see below), whose sum is σ = 305119230. Its totient is φ = 35343360.

The previous prime is 106031209. The next prime is 106031243. The reversal of 106031232 is 232130601.

It can be written as a sum of positive squares in only one way, i.e., 87160896 + 18870336 = 9336^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1060312322 = 22485244318875648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44869 + ... + 47172.

Almost surely, 2106031232 is an apocalyptic number.

106031232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106031232 is an abundant number, since it is smaller than the sum of its proper divisors (199087998).

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

106031232 is an equidigital number, since it uses as much as digits as its factorization.

106031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92061 (or 92046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106031232 is about 10297.1467892810. The cubic root of 106031232 is about 473.3088254630.

Adding to 106031232 its reverse (232130601), we get a palindrome (338161833).

The spelling of 106031232 in words is "one hundred six million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 92041 184082 276123 368164 552246 736328 828369 1104492 1472656 1656738 2208984 2945312 3313476 4417968 5890624 6626952 8835936 11781248 13253904 17671872 26507808 35343744 53015616 106031232