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106251156 = 223311175261
BaseRepresentation
bin1100101010101…
…00001110010100
321101221010012000
412111110032110
5204200014111
614313155300
72430056064
oct625241624
9241833160
10106251156
1154a81080
122b6bbb30
1319021c0b
141017b3a4
1594dbc56
hex6554394

106251156 has 96 divisors (see below), whose sum is σ = 318245760. Its totient is φ = 30297600.

The previous prime is 106251149. The next prime is 106251217. The reversal of 106251156 is 651152601.

It is a happy number.

It is a super-2 number, since 2×1062511562 = 22578616302672672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 17566 + ... + 22826.

It is an arithmetic number, because the mean of its divisors is an integer number (3315060).

Almost surely, 2106251156 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 106251156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159122880).

106251156 is an abundant number, since it is smaller than the sum of its proper divisors (211994604).

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

106251156 is a wasteful number, since it uses less digits than its factorization.

106251156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106251156 is about 10307.8201381281. The cubic root of 106251156 is about 473.6358362998.

It can be divided in two parts, 10625 and 1156, that added together give a triangular number (11781 = T153).

The spelling of 106251156 in words is "one hundred six million, two hundred fifty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 5261 6732 10098 10522 15783 20196 21044 31566 47349 57871 63132 89437 94698 115742 142047 173613 178874 189396 231484 268311 284094 347226 357748 520839 536622 568188 694452 804933 983807 1041678 1073244 1562517 1609866 1967614 2083356 2414799 2951421 3125034 3219732 3935228 4829598 5902842 6250068 8854263 9659196 11805684 17708526 26562789 35417052 53125578 106251156