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100101606 = 23112173797
BaseRepresentation
bin1011111011101…
…10110111100110
320222100200120220
411331312313212
5201111222411
613533305210
72323564263
oct575666746
9228320526
10100101606
1151560900
1229635206
131797ab27
14d41a26a
158bc4b06
hex5f76de6

100101606 has 48 divisors (see below), whose sum is σ = 221607792. Its totient is φ = 30120640.

The previous prime is 100101601. The next prime is 100101607. The reversal of 100101606 is 606101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125200 + ... + 125996.

It is an arithmetic number, because the mean of its divisors is an integer number (4616829).

Almost surely, 2100101606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110803896).

100101606 is an abundant number, since it is smaller than the sum of its proper divisors (121506186).

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

100101606 is a wasteful number, since it uses less digits than its factorization.

100101606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100101606 is about 10005.0790101828. The cubic root of 100101606 is about 464.3160345733.

Adding to 100101606 its reverse (606101001), we get a palindrome (706202607).

The spelling of 100101606 in words is "one hundred million, one hundred one thousand, six hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 173 242 346 363 519 726 797 1038 1594 1903 2391 3806 4782 5709 8767 11418 17534 20933 26301 41866 52602 62799 96437 125598 137881 192874 275762 289311 413643 578622 827286 1516691 3033382 4550073 9100146 16683601 33367202 50050803 100101606