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101906196 = 22371967953
BaseRepresentation
bin1100001001011…
…11011100010100
321002202101000120
412010233130110
5202041444241
614040111540
72345121420
oct604573424
9232671016
10101906196
11525836a7
122a1655b0
1318160332
14d769b80
158e2e666
hex612f714

101906196 has 96 divisors (see below), whose sum is σ = 290626560. Its totient is φ = 27143424.

The previous prime is 101906183. The next prime is 101906209. The reversal of 101906196 is 691609101.

It is an interprime number because it is at equal distance from previous prime (101906183) and next prime (101906209).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 106456 + ... + 107408.

It is an arithmetic number, because the mean of its divisors is an integer number (3027360).

Almost surely, 2101906196 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 101906196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145313280).

101906196 is an abundant number, since it is smaller than the sum of its proper divisors (188720364).

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

101906196 is a wasteful number, since it uses less digits than its factorization.

101906196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 101906196 is about 10094.8598801568. The cubic root of 101906196 is about 467.0895991270.

The spelling of 101906196 in words is "one hundred one million, nine hundred six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 67 76 84 114 133 134 201 228 266 268 399 402 469 532 798 804 938 953 1273 1407 1596 1876 1906 2546 2814 2859 3812 3819 5092 5628 5718 6671 7638 8911 11436 13342 15276 17822 18107 20013 26684 26733 35644 36214 40026 53466 54321 63851 72428 80052 106932 108642 126749 127702 191553 217284 253498 255404 380247 383106 446957 506996 760494 766212 893914 1213169 1340871 1520988 1787828 2426338 2681742 3639507 4852676 5363484 7279014 8492183 14558028 16984366 25476549 33968732 50953098 101906196