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106006560630 = 23556915833923
BaseRepresentation
bin110001010111001111…
…0111011111101110110
3101010121210001020102020
41202232132323331312
53214100134420010
6120410532254010
710441640620035
oct1425636737566
9333553036366
10106006560630
1140a58a37aa3
1218665471306
139cc5064729
1451b8a9a71c
152b5671b470
hex18ae7bbf76

106006560630 has 64 divisors (see below), whose sum is σ = 255088880640. Its totient is φ = 28193720576.

The previous prime is 106006560613. The next prime is 106006560641. The reversal of 106006560630 is 36065600601.

It is a super-2 number, since 2×1060065606302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106006560591 and 106006560600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27019849 + ... + 27023771.

It is an arithmetic number, because the mean of its divisors is an integer number (3985763760).

Almost surely, 2106006560630 is an apocalyptic number.

106006560630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106006560630 is an abundant number, since it is smaller than the sum of its proper divisors (149082320010).

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

106006560630 is a wasteful number, since it uses less digits than its factorization.

106006560630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 106006560630 in words is "one hundred six billion, six million, five hundred sixty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 569 1138 1583 1707 2845 3166 3414 3923 4749 5690 7846 7915 8535 9498 11769 15830 17070 19615 23538 23745 39230 47490 58845 117690 900727 1801454 2232187 2702181 4464374 4503635 5404362 6210109 6696561 9007270 11160935 12420218 13393122 13510905 18630327 22321870 27021810 31050545 33482805 37260654 62101090 66965610 93151635 186303270 3533552021 7067104042 10600656063 17667760105 21201312126 35335520210 53003280315 106006560630