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100159108 = 22719593191
BaseRepresentation
bin1011111100001…
…00111010000100
320222110121110121
411332010322010
5201120042413
613534431324
72324224030
oct576047204
9228417417
10100159108
11515a0025
1229662544
131799b05a
14d4331c0
158bd6b8d
hex5f84e84

100159108 has 48 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 39964320.

The previous prime is 100159097. The next prime is 100159151. The reversal of 100159108 is 801951001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29793 + ... + 32983.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2100159108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100159108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

100159108 is an abundant number, since it is smaller than the sum of its proper divisors (114343292).

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

100159108 is a wasteful number, since it uses less digits than its factorization.

100159108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 25.

The square root of 100159108 is about 10007.9522380955. The cubic root of 100159108 is about 464.4049242225.

The spelling of 100159108 in words is "one hundred million, one hundred fifty-nine thousand, one hundred eight".

Divisors: 1 2 4 7 14 19 28 38 59 76 118 133 236 266 413 532 826 1121 1652 2242 3191 4484 6382 7847 12764 15694 22337 31388 44674 60629 89348 121258 188269 242516 376538 424403 753076 848806 1317883 1697612 2635766 3577111 5271532 7154222 14308444 25039777 50079554 100159108