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106056651060 = 22325589203617
BaseRepresentation
bin110001011000101111…
…0000001000100110100
3101010202021022002120100
41202301132001010310
53214201000313220
6120415522034100
710443116442213
oct1426136010464
9333667262510
10106056651060
1140a8423a748
121867a1a8930
13a002552039
1451c15b907a
152b5ad12d90
hex18b1781134

106056651060 has 36 divisors (see below), whose sum is σ = 321705175428. Its totient is φ = 28281773568.

The previous prime is 106056651053. The next prime is 106056651073. The reversal of 106056651060 is 60156650601.

It can be written as a sum of positive squares in 2 ways, for example, as 80290622736 + 25766028324 = 283356^2 + 160518^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060566510602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294601629 + ... + 294601988.

It is an arithmetic number, because the mean of its divisors is an integer number (8936254873).

Almost surely, 2106056651060 is an apocalyptic number.

106056651060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106056651060 is an abundant number, since it is smaller than the sum of its proper divisors (215648524368).

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

106056651060 is a wasteful number, since it uses less digits than its factorization.

106056651060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589203632 (or 589203627 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106056651060 in words is "one hundred six billion, fifty-six million, six hundred fifty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 589203617 1178407234 1767610851 2356814468 2946018085 3535221702 5302832553 5892036170 7070443404 8838054255 10605665106 11784072340 17676108510 21211330212 26514162765 35352217020 53028325530 106056651060