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106464270 = 235112139211
BaseRepresentation
bin1100101100010…
…00010000001110
321102022221112010
412112020100032
5204223324040
614321522050
72431634313
oct626102016
9242287463
10106464270
1155107200
122b7a3326
1319097c13
14101d4d0a
15952ee80
hex658840e

106464270 has 96 divisors (see below), whose sum is σ = 284215680. Its totient is φ = 25502400.

The previous prime is 106464269. The next prime is 106464283. The reversal of 106464270 is 72464601.

It is a super-2 number, since 2×1064642702 = 22669281573265800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504465 + ... + 504675.

It is an arithmetic number, because the mean of its divisors is an integer number (2960580).

Almost surely, 2106464270 is an apocalyptic number.

106464270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106464270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107840).

106464270 is an abundant number, since it is smaller than the sum of its proper divisors (177751410).

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

106464270 is a wasteful number, since it uses less digits than its factorization.

106464270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 106464270 is about 10318.1524508993. The cubic root of 106464270 is about 473.9522909485.

The spelling of 106464270 in words is "one hundred six million, four hundred sixty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 139 165 211 242 278 330 363 417 422 605 633 695 726 834 1055 1210 1266 1390 1529 1815 2085 2110 2321 3058 3165 3630 4170 4587 4642 6330 6963 7645 9174 11605 13926 15290 16819 22935 23210 25531 29329 33638 34815 45870 50457 51062 58658 69630 76593 84095 87987 100914 127655 146645 153186 168190 175974 252285 255310 293290 322619 382965 439935 504570 645238 765930 879870 967857 1613095 1935714 3226190 3548809 4839285 7097618 9678570 10646427 17744045 21292854 35488090 53232135 106464270