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106063464 = 233132331459
BaseRepresentation
bin1100101001001…
…10011001101000
321101120120201110
412110212121220
5204123012324
614305150320
72425344633
oct624463150
9241516643
10106063464
1154963061
122b62b3a0
1318c87660
141012cc1a
1594a1329
hex6526668

106063464 has 64 divisors (see below), whose sum is σ = 286977600. Its totient is φ = 32472576.

The previous prime is 106063417. The next prime is 106063471. The reversal of 106063464 is 464360601.

It is a super-2 number, since 2×1060634642 = 22498916791358592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71967 + ... + 73425.

It is an arithmetic number, because the mean of its divisors is an integer number (4484025).

Almost surely, 2106063464 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 106063464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143488800).

106063464 is an abundant number, since it is smaller than the sum of its proper divisors (180914136).

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

106063464 is a wasteful number, since it uses less digits than its factorization.

106063464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 106063464 is about 10298.7117640994. The cubic root of 106063464 is about 473.3567803413.

The spelling of 106063464 in words is "one hundred six million, sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 233 312 466 699 932 1398 1459 1864 2796 2918 3029 4377 5592 5836 6058 8754 9087 11672 12116 17508 18174 18967 24232 35016 36348 37934 56901 72696 75868 113802 151736 227604 339947 455208 679894 1019841 1359788 2039682 2719576 4079364 4419311 8158728 8838622 13257933 17677244 26515866 35354488 53031732 106063464