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106277356404 = 223241431674503
BaseRepresentation
bin110001011111010011…
…1111100001101110100
3101011022122121002101100
41202332213330031310
53220124000401104
6120453444330100
710451436424062
oct1427647741564
9334278532340
10106277356404
114108788495a
12187200a3930
13a0391a880b
145202a2b032
152b703ac139
hex18be9fc374

106277356404 has 72 divisors (see below), whose sum is σ = 281597988672. Its totient is φ = 33757960320.

The previous prime is 106277356397. The next prime is 106277356411. The reversal of 106277356404 is 404653772601.

106277356404 is a `hidden beast` number, since 10 + 6 + 2 + 7 + 73 + 564 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (106277356397) and next prime (106277356411).

It is a super-2 number, since 2×1062773564042 (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 106277356404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773784 + ... + 900719.

It is an arithmetic number, because the mean of its divisors is an integer number (3911083176).

Almost surely, 2106277356404 is an apocalyptic number.

It is an amenable number.

106277356404 is an abundant number, since it is smaller than the sum of its proper divisors (175320632268).

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

106277356404 is a wasteful number, since it uses less digits than its factorization.

106277356404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674597 (or 1674592 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 106277356404 in words is "one hundred six billion, two hundred seventy-seven million, three hundred fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 43 82 86 123 129 164 172 246 258 369 387 492 516 738 774 1476 1548 1763 3526 5289 7052 10578 15867 21156 31734 63468 1674503 3349006 5023509 6698012 10047018 15070527 20094036 30141054 60282108 68654623 72003629 137309246 144007258 205963869 216010887 274618492 288014516 411927738 432021774 617891607 648032661 823855476 864043548 1235783214 1296065322 2471566428 2592130644 2952148789 5904297578 8856446367 11808595156 17712892734 26569339101 35425785468 53138678202 106277356404