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106031360 = 28582837
BaseRepresentation
bin1100101000111…
…10100100000000
321101111221200102
412110132210000
5204121000420
614304341532
72425152221
oct624364400
9241457612
10106031360
1154940a26
122b6148a8
1318c75b66
1410121248
159496a75
hex651e900

106031360 has 36 divisors (see below), whose sum is σ = 253981308. Its totient is φ = 42412032.

The previous prime is 106031333. The next prime is 106031399. The reversal of 106031360 is 63130601.

It can be written as a sum of positive squares in 2 ways, for example, as 11397376 + 94633984 = 3376^2 + 9728^2 .

It is a super-2 number, since 2×1060313602 = 22485298606899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40139 + ... + 42698.

Almost surely, 2106031360 is an apocalyptic number.

106031360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106031360 is an abundant number, since it is smaller than the sum of its proper divisors (147949948).

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

106031360 is an frugal number, since it uses more digits than its factorization.

106031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82858 (or 82844 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 106031360 is about 10297.1530045931. The cubic root of 106031360 is about 473.3090159210.

Adding to 106031360 its reverse (63130601), we get a palindrome (169161961).

The spelling of 106031360 in words is "one hundred six million, thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 82837 165674 331348 414185 662696 828370 1325392 1656740 2650784 3313480 5301568 6626960 10603136 13253920 21206272 26507840 53015680 106031360