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100912064 = 2611283157
BaseRepresentation
bin1100000001111…
…00101111000000
321000212212022212
412000330233000
5201313141224
614002521252
72333511161
oct600745700
9230785285
10100912064
1151a64800
1229966228
1317ba29a6
14d58b768
158cd4d0e
hex603cbc0

100912064 has 84 divisors (see below), whose sum is σ = 224177352. Its totient is φ = 45027840.

The previous prime is 100912043. The next prime is 100912069. The reversal of 100912064 is 460219001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100912069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642674 + ... + 642830.

It is an arithmetic number, because the mean of its divisors is an integer number (2668778).

Almost surely, 2100912064 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 100912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112088676).

100912064 is an abundant number, since it is smaller than the sum of its proper divisors (123265288).

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

100912064 is a wasteful number, since it uses less digits than its factorization.

100912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 100912064 is about 10045.4996889154. The cubic root of 100912064 is about 465.5657568216.

The spelling of 100912064 in words is "one hundred million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 157 166 176 242 314 332 352 484 628 664 704 913 968 1256 1328 1727 1826 1936 2512 2656 3454 3652 3872 5024 5312 6908 7304 7744 10043 10048 13031 13816 14608 18997 20086 26062 27632 29216 37994 40172 52124 55264 58432 75988 80344 104248 110528 143341 151976 160688 208496 286682 303952 321376 416992 573364 607904 642752 833984 1146728 1215808 1576751 2293456 3153502 4586912 6307004 9173824 12614008 25228016 50456032 100912064