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106823830386 = 23713953205297
BaseRepresentation
bin110001101111100110…
…0100100101101110010
3101012201201212211202110
41203133030210231302
53222233400033021
6121024005230150
710501123401510
oct1433714445562
9335651784673
10106823830386
11413382a3949
1218853102356
13a0c54830c0
14525543d4b0
152ba3355476
hex18df324b72

106823830386 has 64 divisors (see below), whose sum is σ = 263228168448. Its totient is φ = 28143618048.

The previous prime is 106823830367. The next prime is 106823830417. The reversal of 106823830386 is 683038328601.

It is a super-2 number, since 2×1068238303862 (a number of 23 digits) contains 22 as substring.

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, 417690 + ... + 622986.

It is an arithmetic number, because the mean of its divisors is an integer number (4112940132).

Almost surely, 2106823830386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106823830386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131614084224).

106823830386 is an abundant number, since it is smaller than the sum of its proper divisors (156404338062).

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

106823830386 is a wasteful number, since it uses less digits than its factorization.

106823830386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206275.

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 106823830386 in words is "one hundred six billion, eight hundred twenty-three million, eight hundred thirty thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 953 1906 2859 5718 6671 12389 13342 20013 24778 37167 40026 74334 86723 173446 205297 260169 410594 520338 615891 1231782 1437079 2668861 2874158 4311237 5337722 8006583 8622474 16013166 18682027 37364054 56046081 112092162 195648041 391296082 586944123 1173888246 1369536287 2543424533 2739072574 4108608861 5086849066 7630273599 8217217722 15260547198 17803971731 35607943462 53411915193 106823830386