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106938348 = 223112471567
BaseRepresentation
bin1100101111110…
…11111111101100
321110020000211120
412113323333230
5204334011343
614340020540
72435650416
oct627737754
9243200746
10106938348
1155400400
122b991750
131920293a
14102b99b6
1595c5683
hex65fbfec

106938348 has 72 divisors (see below), whose sum is σ = 280283136. Its totient is φ = 31695840.

The previous prime is 106938323. The next prime is 106938371. The reversal of 106938348 is 843839601.

It is a happy number.

It is a super-2 number, since 2×1069383482 = 22871620545938208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67461 + ... + 69027.

Almost surely, 2106938348 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 106938348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140141568).

106938348 is an abundant number, since it is smaller than the sum of its proper divisors (173344788).

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

106938348 is a wasteful number, since it uses less digits than its factorization.

106938348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 106938348 is about 10341.0999414956. The cubic root of 106938348 is about 474.6547415347.

The spelling of 106938348 in words is "one hundred six million, nine hundred thirty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1452 1551 1567 2068 3102 3134 4701 5687 6204 6268 9402 11374 17061 17237 18804 22748 34122 34474 51711 68244 68948 73649 103422 147298 189607 206844 220947 294596 379214 441894 568821 758428 810139 883788 1137642 1620278 2275284 2430417 3240556 4860834 8911529 9721668 17823058 26734587 35646116 53469174 106938348