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106653190084 = 2272233272
BaseRepresentation
bin110001101010100000…
…1101000011111000100
3101012021211210102021021
41203111001220133010
53221411204040314
6120555032000524
710463652105100
oct1432501503704
9335254712237
10106653190084
114125aa44301
1218805b30144
13a0990084cc
14523a900900
152b9339a324
hex18d50687c4

106653190084 has 27 divisors (see below), whose sum is σ = 217124730543. Its totient is φ = 45706550568.

The previous prime is 106653190081. The next prime is 106653190093. The reversal of 106653190084 is 480091356601.

The square root of 106653190084 is 326578.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1066531900842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106653190084.

It is not an unprimeable number, because it can be changed into a prime (106653190081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4560429 + ... + 4583755.

Almost surely, 2106653190084 is an apocalyptic number.

106653190084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106653190084 is the 326578-th square number.

It is an amenable number.

106653190084 is an abundant number, since it is smaller than the sum of its proper divisors (110471540459).

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

106653190084 is an frugal number, since it uses more digits than its factorization.

106653190084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46672 (or 23336 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 106653190084 in words is "one hundred six billion, six hundred fifty-three million, one hundred ninety thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 23327 46654 93308 163289 326578 653156 1143023 2286046 4572092 544148929 1088297858 2176595716 3809042503 7618085006 15236170012 26663297521 53326595042 106653190084