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106077426 = 23713238447
BaseRepresentation
bin1100101001010…
…01110011110010
321101121021212120
412110221303302
5204123434201
614305335110
72425433430
oct624516362
9241537776
10106077426
11549725a4
122b637496
1318c90b10
1410133d50
1594a5536
hex6529cf2

106077426 has 64 divisors (see below), whose sum is σ = 272498688. Its totient is φ = 26756928.

The previous prime is 106077401. The next prime is 106077451. The reversal of 106077426 is 624770601.

It is an interprime number because it is at equal distance from previous prime (106077401) and next prime (106077451).

It is a super-2 number, since 2×1060774262 = 22504840613570952, which contains 22 as substring.

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, 8335 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (4257792).

Almost surely, 2106077426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106077426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136249344).

106077426 is an abundant number, since it is smaller than the sum of its proper divisors (166421262).

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

106077426 is a wasteful number, since it uses less digits than its factorization.

106077426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 106077426 is about 10299.3895935633. The cubic root of 106077426 is about 473.3775500363.

The spelling of 106077426 in words is "one hundred six million, seventy-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 6279 8447 12558 16894 25341 50682 59129 109811 118258 177387 194281 219622 329433 354774 388562 582843 658866 768677 1165686 1359967 1537354 2306031 2525653 2719934 4079901 4612062 5051306 7576959 8159802 15153918 17679571 35359142 53038713 106077426