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106337608 = 23138397127
BaseRepresentation
bin1100101011010…
…01010101001000
321102002111202221
412111221111020
5204210300413
614315103424
72430566116
oct625512510
9242074687
10106337608
1155030023
122b741b74
1319052380
14101a0ab6
15950768d
hex6569548

106337608 has 64 divisors (see below), whose sum is σ = 221276160. Its totient is φ = 47609856.

The previous prime is 106337603. The next prime is 106337617. The reversal of 106337608 is 806733601.

It is a super-2 number, since 2×1063376082 = 22615373750323328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106337603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837241 + ... + 837367.

It is an arithmetic number, because the mean of its divisors is an integer number (3457440).

Almost surely, 2106337608 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 106337608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110638080).

106337608 is an abundant number, since it is smaller than the sum of its proper divisors (114938552).

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

106337608 is a wasteful number, since it uses less digits than its factorization.

106337608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 106337608 is about 10312.0128006127. The cubic root of 106337608 is about 473.7642605176.

The spelling of 106337608 in words is "one hundred six million, three hundred thirty-seven thousand, six hundred eight".

Divisors: 1 2 4 8 13 26 52 83 97 104 127 166 194 254 332 388 508 664 776 1016 1079 1261 1651 2158 2522 3302 4316 5044 6604 8051 8632 10088 10541 12319 13208 16102 21082 24638 32204 42164 49276 64408 84328 98552 104663 137033 160147 209326 274066 320294 418652 548132 640588 837304 1022477 1096264 1281176 2044954 4089908 8179816 13292201 26584402 53168804 106337608