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106001676 = 22331189227
BaseRepresentation
bin1100101000101…
…11010100001100
321101110102222000
412110113110030
5204114023201
614303552300
72424666534
oct624272414
9241412860
10106001676
11549206a0
122b5bb690
1318c654b1
14101144c4
15948cd86
hex651750c

106001676 has 48 divisors (see below), whose sum is σ = 299806080. Its totient is φ = 32121360.

The previous prime is 106001669. The next prime is 106001677. The reversal of 106001676 is 676100601.

It is a super-2 number, since 2×1060016762 = 22472710629617952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106001677) 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, 43426 + ... + 45801.

It is an arithmetic number, because the mean of its divisors is an integer number (6245960).

Almost surely, 2106001676 is an apocalyptic number.

It is an amenable number.

106001676 is an abundant number, since it is smaller than the sum of its proper divisors (193804404).

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

106001676 is a wasteful number, since it uses less digits than its factorization.

106001676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89251 (or 89243 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106001676 is about 10295.7115344205. The cubic root of 106001676 is about 473.2648434041.

The spelling of 106001676 in words is "one hundred six million, one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 89227 178454 267681 356908 535362 803043 981497 1070724 1606086 1962994 2409129 2944491 3212172 3925988 4818258 5888982 8833473 9636516 11777964 17666946 26500419 35333892 53000838 106001676